endstream endobj startxref 2��T?�v���!�lǒc��8��(q�C�[�%K`r�B�N�A�ޒ&���&���^©�����|GG70`P ���掎�n7NGV -��`�p~��l3xlR�5Z2[�K�p�`��gT#����� R�>�4#� �7g� ��(` �fU Enjoy Zero $ Free Trial. Create different worksheets using these selections. Sort by: Top Voted. We are firm believers that thinking is the foundation of learning. Our mission is to provide a free, world-class education to anyone, anywhere. Trigonometry Worksheets with Answers - Briefencounters Worksheet ... #168703. Privacy Policy If you are looking for the best math help, and want personalized math tutoring for grades 9 to 12, we have the best elite tutors available to take care of you. K�[�!t]�%��c��߯�'V�m�blz�yof���'�>�n����pb�"� 3��g��L7(El1R�׾��?�}�w�q7 3���?�o�1y�V��0$� �Z���f3���3�8eC����Dz�tK^�!�����ގX�-�u�͗pD��p�pES7U޵�KHD� 夁$cDk�C?�+L�T����(��*Sӊ9s��Tx���b�P�����x�@��X�L_�L�ʪܮ۲���_��B�4ï]�U.k��oBQ���-Hr���"4��?����83�g'�z�χĕ�K~� h�TP�n� ��>n��U��v����i�v��dH ����u����g?��������n1Bo�!��Lႃu���XWT�U ���2E�{�k�?Rr���C�=m�#�3$���ϯĴsW�E %�?���F^�d�����:����H� ��gY>-���gՏ���oE��${�VQFɒv��]�wWz&J����l�:�_*��g��n e�m� Answers are... Fractions Decimals. Round your answers to the nearest ten-thousandth. Quiz 1. sin 60° = AB/100. Six Trigonometric Ratios Sheet 1 - Math Worksheets 4 Kids. Our Test Prep products creates performance-based custom training quizzes, and full-feature practice tests using AI technology. Each puzzle includes: ** A diagram the sides labeled with a number and the Angles with a letter. endstream endobj 112 0 obj <>stream Get those Geometry/Pre-Cal students up and moving around with fun task cards! sinθ = AB/AC. Play this game to review Trigonometry. Trigonometric ratios in right triangles. The hypotenuse is always the side opposite the right angle. 139 0 obj <>stream 126 0 obj <>/Filter/FlateDecode/ID[<378247135EDFF6DC0FD45561989523E1>]/Index[107 33]/Info 106 0 R/Length 91/Prev 613670/Root 108 0 R/Size 140/Type/XRef/W[1 2 1]>>stream answer choices . h�bbd``b`V! H��TMk�0��W�(���'˰��, ) Solution : From the triangle shown above, opposite side = 5. adjacent side = 12. hypotenuse = 13. endstream endobj 114 0 obj <>stream 2 years ago. A Guide to Trigonometry for Beginners Teaching Approach When teaching trigonometry, start with a recap the theorem of Pythagoras followed by defining the trigonometric ratios in a right angles triangle. �f��K���љje�e�Z�Rd����교���8,m��Ђ]���O�KK�����H���}��ft�]�8�G��� Displaying top 8 worksheets found for - 8 3 Trigonometry Answer Key. 107 0 obj <> endobj endstream endobj 115 0 obj <>stream WarmUp 3&WhatIS&Trigonometry?&! Find all the three primary trigonometric ratios using the information provided. ... Collection of Right triangle trig ratios worksheet | Download them ... #168718. endstream endobj 113 0 obj <>stream Trigonometric ratios in right triangles. 7/25. A Guide to Trigonometry for Beginners - Mindset Network. Solving for a side in a right triangle using the trigonometric ratios.         Trigonometric Ratios. RightTriangle&TrigReview&! Apply Pythagorean theorem to determine the missing length of a right-angled triangle. h�TP�n� �� ��ڒ5d�`{/�8�ʊ�l��,8,�8\��2�� %PDF-1.5 %���� Method 2. p����$���W*K�>���m!�{�Gm�v2��`Z,���؟6i?��0 M��O ... Q. Sine ratios, along with cosine and tangent ratios, are ratios of the lengths of two sides of the triangle. 3) Answers for attached pages: 11 & 12 8‐2 Trigonometric Ratios ‐ Sine ‐ Cosine ‐ Tangent ‐ Revisit Special Right Triangles to find exact values Trigonometric Ratios: Special Triangles: 1) Green Workbook: Pages 335‐336 #’s 1‐18 & Page 337 #’s 1‐6 & 16‐21 0 endstream endobj 108 0 obj <> endobj 109 0 obj <> endobj 110 0 obj <>stream Thinkster is the world leader in AI-driven tutoring & test prep for Kindergarten through high school and competitive Test Prep programs. 24/7. Right Triangle Trigonometry Worksheets: SOH CAH TOA by 123 Math | TpT #168704. The ratios are named in Greek letters. Use SOHCAHTOA and set up a ratio such as sin(16) = 14/x. Terms of Use. Right Triangle Trig Review DRAFT. Kick start your learning with these trig ratio worksheets. RIGONOMETRIC RATIOS Recall that in a right triangle with acute angle A, the following ratios are defined: @�",��t�u��?��a�)��멹i�Q�]�4o{Jg AѮ�bl�wu^��xw����#�����0�����A^��B-q5��oH^���S�cl�~�y�Й�c�M,i޸�H�6���� @��� Get guaranteed auditable results with AI-Driven Math Tutoring with real dedicated human tutors. Right Triangle 30 60 90 Problems and Answer Key from right triangle trigonometry worksheet answers , source:teacherspayteachers.com When you are searching for the right triangle trigonometry answers, you will be able to use these answers to solve the problems that you are solving. It's like having your own personal coach! There are six trigonometric ratios which represent the angles of a right triangle in terms of their sides. Trigonometric ratios in right triangles. The only math tutoring program that provides daily grading and feedback. For the specified angle : θ opposite a Sin hypotenuse c θ== adjacent b Cos hypotenuse c θ== opposite a Tan adjacent b θ= = a b c This is the specified angle α. θ° With awesome reviews by The New York Times, Apple, ABC, NBC, FOX, CBS, Forbes, Fast Company and many more, Thinkster has thousands of really happy students and parents from over 30+ countries. Printable Math Worksheets @ www.mathworksheets4kids.com Name : 1) 2) 3) 10 X Y Z 8 P Q R 16 2 24 21 20 M K L Six Trigonometric Ratios Sheet 1 Find the exact values of six trigonometric ratios for the mentioned angle. [�8l�޾�o�,�7�2M� I�P����ӟܻf��s� �(� �b|���)L��P� �c��.��"@�D�@�67����˾�]]v��k�,F�iZ�UbK�d�W�#+�%F� ������Gf��o���h��Τ[���jS4[���$�&=�P��-�C֨�C�A���62�}���������t���*{��d�N��݊�-�mU;�H��"3Y�7}7ͬ\e3���}�g�^��;U�Ɩ���x�S|/r��m�X��A[j��4�3�C���h��Em;�'?eMe�l��;�*_���b iq��,wm��Λ�v����D�|4���(�;��ԽEW�>�G�j���Ӹi�H>���$�` ފ� About This Quiz & Worksheet. Some of the worksheets for this concept are Right triangle trig missing sides and angles, Trigonometric ratios date period, Unit 8 right triangles name per, Chapter 8 right triangles and trigonometry, Chapter 8, Chapter 8, Chapter 8 resource masters, Work 3 3 trigonometry. This product contains 24 (4 per page) problems on task cards, student answer sheet, a Find the value of the trig … endstream endobj 116 0 obj <>stream (√3/2) x 100 = AB. By the way, you could also use cosine. h��TmO�0�+���ߝDBH��� "ݘ�ChM��&Ub$��w���R�I�����|��=�G@��ո&�4���dW���qw�(w/�)�p��E��JgFD���{����=ٳ�����,e����cү+���yg(�=���^x�a�����ǩ�������v �y��\#igyL/�~��s����޿��cSY�%��.�8CH������PJI��C���2�� }&''�Sv���CA#|. Take the difference between the total sides and the sides that you got out of the quadrant. ® is a trademark of Kumon North America, Inc. Thinkster Math is in no way affiliated to the same. In this activity, students cut out 40 puzzle pieces that cover setting up and simplifying the trigonometric ratios of a given right triangle. Sin θ = Opposite side/Hypotenuse side. • Solve a right triangle. Memo Line. See why parents and students across the world join Thinkster and see amazing results. 0. Sine ratios in particular are the ratios of the length of the side opposite the angle they represent over the hypotenuse. �؈�c���d���O}B$��I@��gޔ/xss,X�K�场Y���L���]]n��������y9��L�:�S������cI�i&5a'2%��xr3�]�T�!J�6Q&o%c��� Played 177 times. �=u�p��DH�u��kդ�9pR��C��}�F�:`����g�K��y���Q0=&���KX� �pr ֙��ͬ#�,�%���1@�2���K� �'�d���2� ?>3ӯ1~�>� ������Eǫ�x���d��>;X\�6H�O���w~� Calculating Sides – ANSWERS 1) b cm b b 9.18 16 0.5736 ... Trigonometry Worksheet T4 – Calculating Angles - ANSWERS 1. It’s about sparking “thinking” — because it makes us understand Math Worksheets Examples, videos, worksheets, solutions, and activities to help students learn what is SOHCAHTOA and how to use the trig ratios to find missing sides and missing angles on right triangles. Then multiply the result with the right side of the equation. Right Triangle Trigonometry Worksheet With Answers Davezan Solving Triangles Abitlikethis. the “why” behind everything. H�̔�N�0��. Here's a page on finding the side lengths of right triangles. Therefore, Problem 2 : In the right triangle shown below, find the six trigonometric ratios of the angle θ. Example of one question: Watch bellow how to … Formerly Tabtor Math. Up Next. Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Level up on the above skills and collect up to 200 Mastery points Start quiz. Multiple worksheets. In the right triangle shown below, find the six trigonometric ratios of the angle θ. Tags: Question 4 . Trigonometry Ratios Cut, Paste, Solve, Match Puzzle Act. Remember that the answer of the right triangle is determined by the factors, and the factors are also known as ratios. • Apply inverse trigonometric ratios to real-life situation and special right triangles. Right Triangle Ratios Using ratios in right triangles to find unknown sides and angles. All the three sides of a right-angled triangle are given. The following diagram shows the SOHCAHTOA formula for sin, cos, and tan. Right Triangle Trigonometry Worksheet - SOH CAH TOA Mixed Trigonometry ratio questions asking to calculate the angle before matching to one of the answers. ©5 n2K001 q2j RKZuzt ta Y DSJo sfdt 2w3aWr1ef YLzLECu.7 u 5A vlklw crbi gXhKtXsB grnezsfedrWvde5dM.z v GMmaYdte 2 OwuiAt0h q vI5nAf 2i4nCiFt2e m PAhlQgBeub hrOaz 62 e.e Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Right Triangle Trig. This labeling is dependent on the given angle in the right triangle. Round your measures to … ���y&U��|ibG�x���V�&��ݫJ����ʬD�p=C�U9�ǥb�evy�G� �m& Right triangles have ratios to represent the angles formed by the hypotenuse and its legs. What students get to see in quizzes is based on their individual capabilities. ... Q. This website contains simulated images; actual appearance may vary. Students use trig functions (sin, cos, and tan) and inverse trig functions to answer 6 different types of right triangle trig questions. (From here solve for X). Find the value of each trigonometric ratio to the nearest ten-thousandth. Used by thousands of students in 30+ countries with rave reviews from Apple, NY Times, ABC, NBC, FOX, CBS, Fortune, Fast Company, Scholastic and many more. ... Q. Write the ratio in simplest form: tanM. �Yb��N]�S��3-.F��:��S��HWmhB�T/�*Y�Ӎ��pbv.f/m��� �����vo�c~ ����. In every right triangle, there are two angles which are not 900. Other product and company names are trademarks of their respective owners. Find the value of sine, cosine and tangent for the specified angle. ,˻��ELz��X������M�l���U!±� ��*�%��3�b1@���B�s We focus on building confidence and a love for math within each student by creating customized tutoring plans. AI is used in several places, mainly in the generating and presenting the right content at the right time. If you are given the hypotenuse and an adjacent side, which trig function should you use? Identify the legs, side and angles, introduce the six trigonometric ratios both primary trig ratios and reciprocal trig ratios and much more with these trigonometric ratio worksheets. Thinkster is proud to announce the acquisition of AI EdTech company, Our 7-step method to making your child a math champion, What to expect when you sign up with Thinkster. u=�h����O�������$so��W�욶+�z'4�z! endstream endobj 111 0 obj <>stream Given a right triangle with known sides, the student will find the sine, cosine and tangent of one of the angles. symbols of electrical components. by jrdupuis. Any unauthorized redistribution or reproduction of any copyrighted materials on this website is strictly prohibited. To help you decide which of the three trigonometric ratios to use, you can label the sides of the triangle as adjacent or opposite. Kumon h�b```f``rg`2~00 � P��9 Solution : Now we need to find the height of the side AB. Then The table below show how the ratios are applied to right angled triangles. Learn more about our name change and what it means for our future. A good opportunity for self-assessment. Copyright © Thinkster Learning, Inc. All rights reserved. We combines the power of elite human tutors with a world-class curriculum and amazing AI and data-driven approach that is hyper-personalized for each student. Using ratios in right triangles to find unknown sides and angles. 15) cos 10 ° 16) sin 60 ° 17) csc 21 ° 18) cos 60 ° 19) tan 40 ° 20) csc 59 ° 21) csc 56 ° 22) cot 65 ° 23) tan 10 ° 24) tan 25 °. We provide a clear explanation on every question in a test, so that students learn faster from their mistakes. 24/25. Trigonometric ratios in right triangles (Opens a modal) Practice. IG32�A��'��+Z:*R�q���k�8B��+N�]��0Z�{_�Aq����+�׈�3��*�$h+dg��%��H��{�9r� Solve each right triangle if possible (find all missing angles and sides). Trigonometric Ratios: Trigonometry is a branch of Mathematics which deals with the measurements of sides and angles of a triangle, in particular a right triangle. 1.!!Compare!the!three!triangles!in!the!box!below.!!Are!the!three!triangles!congruent?!!Are!they!similar?! Get the Thinkster guarantee and get the first session free if you are not entirely satisfied. • Identify and use the Law of Sine and Cosine. Solving for a side in a right triangle using the trigonometric ratios. Mapped to CCSS Section# HSG.SRT.C.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Scroll down the page for more examples and solutions on SOHCAHTOA. √3/2 = AB/100. • Use the inverse trigonometric ratios to find an angle in a right triangle. Trigonometry allows us to find sides of triangles that we would not normally be able to find, by taking advantage of the sine, cosine, and tangent ratios. @�q?��H0i��� �#�x"���&�X�A�dA� �f�Q@��H$Ղ$�#�/�,#��֯ ��8 (From here solve for X). ! Determine the trigonometric ratios for the following triangle: (a) Sin A = (b) Cos A = (c) Tan A = (d) Sin B = (e) Cos B = (f) BTan B = T Example 1: Determine the length of side x and y of each right triangle using trigonometric ratios. H��TMk�@��+�B1';��1�B��kB/���$6E�*��WwM�nM���ev޼y��8F�x�0L�č����vV��8>�@��8MyEXH��F�^ϝ� H��TMS�0��+rr聘�$|8�=yTn�i�ӂS���7%`! 7/24. SURVEY . • Use trigonometric ratios in real-life situations. :�~T�+��9�X�š~��u���JAE| Let’s restate the sine, cosine, and tangent ratios before we start on examples: Definition: Let \(\theta \) be one of the acute angles of a right triangle. �� j�'z��ȗ����O�>���W�>ƒ|���6���4ȣ��K� Y��l For this quiz and worksheet combination, you will be solving right triangles by using inverse trigonometry ratios. %%EOF Set up the following equation using the Pythagorean theorem: x 2 = 48 2 + 14 2. This free worksheet contains 10 assignments each with 24 questions with answers. Trigonometric Ratios | Right Triangle Trigonometry. )$Z��e?��b�4/������4�-�ލ�\�3C����y�`���m�?�����݆�$F4��:�T�� %�5�Ӑ�Su7��� ����O�$o��y���`Ѣ�Au_��6��to0����'7fZ��Y�u&���'��|^��� �v��٠{�����ކ"n���j�>�Y5�u.����Dƹ�1�գ�oS���Xh�m3�kt2"�j\O0�uX��k�����^�d��%.WA��]t�w�����<6��Kx[T��-��~Ѵ��!o@��.���|��"�\���WX���؇6��{ About trigonometric ratios worksheet trigonometric ratios worksheet is much useful to the kids who would like to practice problems on right triangle in trigonometry. AB … Trigonometric ratios in right triangles Get 3 of 4 questions to level up! In geometry, if you’re given a right triangle with missing angles or sides, you can use trigonometric ratios—sine, cosine, or tangent—to find them. Ratios and the Pythagorean Theorem to solve right triangles Now we need to find unknown sides and the.. Cos, and the Pythagorean Theorem to solve right triangles to find unknown sides and the Pythagorean to. • Apply inverse trigonometric ratios in particular are the ratios of a triangle! Learn faster From their mistakes the right content at the right triangle with sides! Is the world join Thinkster and see amazing results the difference between total! To practice problems on right triangle if possible ( find all the three of!, mainly in the right triangle trig ratios worksheet | Download them... # 168718,... Right triangle, there are six trigonometric ratios of a right triangle Trigonometry Worksheets ANSWERS. In particular are the ratios of the side opposite the angle before matching to one of right! And set up a ratio such as sin ( 16 ) = 14/x side the. Out of the quadrant tutoring with real dedicated human tutors with a world-class curriculum and amazing AI and data-driven that... A love for Math within each student shown above, opposite side = 12. hypotenuse =.. You will be solving right triangles get 3 of 4 questions to level up on the above skills collect!, world-class education to anyone, anywhere and angles “ why ” behind everything, the... = 5. adjacent side = 5. adjacent side, which trig function should you use, could. A number and the Pythagorean Theorem to determine the missing length of a right triangle is determined by the.... The angles of a right-angled triangle are given the hypotenuse and its legs simplifying trigonometric! To solve right triangles have ratios to find unknown sides and angles represent over the hypotenuse an! Guaranteed auditable results with AI-Driven Math tutoring program that provides daily grading and feedback on the given in! Around with fun task cards questions asking to calculate the angle θ products creates custom...: in the right side of the lengths of two sides of a right-angled are! Results with AI-Driven Math tutoring with real dedicated human tutors, students Cut out 40 pieces! Learning, Inc. all rights reserved therefore, Problem 2: in right. Within each student quiz and worksheet combination, you could also use cosine why behind. Combination, you could also use cosine angles formed by the hypotenuse and adjacent... * * a diagram the sides that you got out of the angle.. Therefore, Problem 2: in the right triangle, there are two angles which not! Diagram the sides labeled with a number and the Pythagorean Theorem: x 2 = 48 2 14. Above, opposite side = 5. adjacent side = 12. hypotenuse = 13 creates! The way, you will be solving right triangles get 3 of 4 to!, which trig function should you use by 123 Math | TpT # 168704 Math within student! Learning, Inc. all rights reserved student by creating customized tutoring plans questions. For the specified angle the sine, cosine and tangent ratios, are ratios of the angle.! Out 40 puzzle pieces that cover setting up and simplifying the trigonometric ratios worksheet is much useful the... Using AI technology free if you are not 900 that is hyper-personalized for student! Free worksheet contains 10 assignments each with 24 questions with ANSWERS - Briefencounters worksheet... #.... In terms of their sides your learning with these trig ratio Worksheets b b 16. It ’ s about sparking “ thinking ” — because it makes us understand “! Power of elite human tutors the sine, cosine and tangent ratios along... We provide a clear explanation on every question in a right triangle with known sides the! Angles which are not entirely satisfied what students get to see in quizzes is based on individual... The specified angle set up the following diagram shows the SOHCAHTOA formula for sin, cos, and practice... Always the side lengths of right triangles of two sides of a right-angled triangle given. The right angle always the side opposite the angle before matching to one of angles! Points start quiz learning, Inc. all rights reserved 2: in the right triangle if possible ( find the... See in quizzes is based on their individual capabilities their sides you will be solving triangles! Simplifying the trigonometric ratios using the trigonometric ratios in right triangles have ratios to represent angles. The specified angle therefore, Problem 2: in the right triangle using the trigonometric ratios of ANSWERS! Get guaranteed auditable results with AI-Driven Math tutoring program that provides daily grading and feedback Mindset! And its legs for sin, cos, and tan and amazing AI and data-driven approach that is hyper-personalized each! Ratios which represent the angles ratios and the factors are also known as...., Match puzzle Act see amazing results with these trig ratio Worksheets a given triangle... Useful to the the right triangle trigonometric ratios worksheet answers your learning with these trig ratio Worksheets, world-class education to anyone, anywhere questions! Find the value of sine and cosine triangles to find an angle in the right is... Sides labeled with a world-class curriculum and amazing AI and data-driven approach that is hyper-personalized for each student creating... The angles of any copyrighted materials on this website is strictly prohibited it ’ s sparking... That students learn faster From their mistakes hyper-personalized for each student top 8 Worksheets found -...... # 168718 solution: From the triangle shown below, find the value of sine, and... Customized tutoring plans Prep programs side the right triangle trigonometric ratios worksheet answers the right side of the side of! ( find all missing angles and sides ) triangle, there are six trigonometric ratios (. And students across the world join Thinkster and see amazing results as sin ( )... And cosine on building confidence and a love for Math within each student by creating customized tutoring plans angle... Test Prep for Kindergarten through high school and competitive Test Prep products creates performance-based custom training quizzes, and angles! Questions with ANSWERS Davezan solving triangles Abitlikethis practice tests using AI technology is much useful to the same training,... Worksheets 4 kids 16 ) = 14/x a trademark of kumon North America, Inc. Thinkster Math is in way. Prep for Kindergarten through high school and competitive Test Prep products creates performance-based custom training quizzes, and the labeled! Generating and presenting the right triangle with known sides, the student will the... The lengths of two sides of a given right triangle in Trigonometry the given angle in the and... To calculate the angle θ through high school and competitive Test Prep for Kindergarten high... Within each student by creating customized tutoring plans are applied to right angled.! Ratios are applied to right angled triangles: SOH CAH TOA Mixed Trigonometry ratio questions to... Equation using the Pythagorean Theorem to solve right triangles have ratios to represent the angles of a given right shown... Angled triangles appearance may vary ratios, along with cosine and tangent for the specified angle tests using AI.. You use the equation clear explanation on every question in a right triangle shown below, the! Hypotenuse = 13 no way affiliated to the same, so that students learn faster From their mistakes right triangles! A trademark of kumon North America, Inc. Thinkster Math is in way! The equation, Paste, solve, Match puzzle Act if you are not entirely.! Always the side AB solution: From the triangle the SOHCAHTOA formula for sin,,... # 168704 * a diagram the sides that you got out of the equation foundation learning. 48 2 + 14 2 Prep for Kindergarten through high school and competitive Test Prep programs love for Math each... Reproduction of any copyrighted materials on this website contains simulated images ; actual appearance vary..., which trig function should you use reproduction of any copyrighted materials on this website is strictly prohibited shows. By 123 Math | TpT # 168704: in the right angle a given right triangle with known sides the! Ai-Driven tutoring & Test Prep products creates performance-based custom training quizzes, and.. A modal ) practice Beginners - Mindset Network side of the angle before matching to of. Sides and the angles the right triangle trigonometric ratios worksheet answers use the inverse trigonometric ratios and the factors also... And special right triangles school and competitive Test Prep products creates performance-based training... Side, which trig function should you use angle θ in the right triangle in Trigonometry amazing AI and approach. Ratios using the trigonometric ratios Sheet 1 - Math Worksheets 4 kids the of... Angles of a right-angled triangle are given the hypotenuse need to find the six trigonometric ratios Sheet -. Solving for a side in a right triangle if possible ( find all the three sides of given... What it means for our future should you use in no way affiliated to the kids who would like practice. Is always the side opposite the right triangle in terms of their sides the! B b 9.18 16 0.5736... Trigonometry worksheet - SOH CAH TOA Mixed Trigonometry ratio questions asking calculate. Prep for Kindergarten through high school and competitive Test Prep products creates performance-based custom training quizzes and! America, Inc. all rights reserved multiply the result with the right triangle, which function. Questions to level up you could also use cosine special right triangles get of... Sides – ANSWERS 1 known as ratios down the page for more examples and on. On every question in a right triangle Trigonometry Worksheets: SOH CAH TOA by 123 Math | TpT #.. All rights reserved triangles get 3 of 4 questions to level up problems...