Side Length Ratios from Diagrams (Level 1)

This math topic focuses on using trigonometric ratios to solve for unknown side lengths in various geometric diagrams. Students practice calculating the sides of triangles using tangent, sine, and cosine functions given certain angles and other dimensions. Each question presents a different triangle diagram and requires students to apply trigonometric principles to express side lengths in ratio form. This set of problems is designed to help reinforce understanding of fundamental trigonometry concepts.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Trigonometry - Side Length Ratios from Diagrams Worksheet

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Math worksheet on 'Trigonometry - Side Length Ratios from Diagrams (Level 1)'. Part of a broader unit on 'Trigonometry Fundamentals - Intro' Learn online: app.mobius.academy/math/units/trigonometry_fundamentals_intro/
1
An svg image showing a math problem
Solve for the side length in ratio form
a A LaTex expression showing b = 7.1 over tan(A)
b A LaTex expression showing b = tan(A) over 7.1
2
An svg image showing a math problem
Solve for the side length in ratio form
a A LaTex expression showing b = 10 over tan(A)
b A LaTex expression showing b = tan(A) over 10
3
An svg image showing a math problem
Solve for the side length in ratio form
a A LaTex expression showing b = 11 over cos(A)
b A LaTex expression showing b = cos(A) over 11
4
An svg image showing a math problem
Solve for the side length in ratio form
a A LaTex expression showing b = {tan(A)} multiplied by 9
b A LaTex expression showing b = 9 over tan(A)
5
An svg image showing a math problem
Solve for the side length in ratio form
a A LaTex expression showing b = {cos(A)} multiplied by 6
b A LaTex expression showing b = 6 over cos(A)
6
An svg image showing a math problem
Solve for the side length in ratio form
a A LaTex expression showing b = 12.4 over cos(A)
b A LaTex expression showing b = {cos(A)} multiplied by 12.4
7
Solve for the side length in ratio form
An svg image showing a math problem
a A LaTex expression showing b = tan(A) over 3
b A LaTex expression showing b = {tan(A)} multiplied by 3
c A LaTex expression showing b = 3 over tan(A)
Trigonometry - Side Length Ratios from Diagrams (Level 1) - Mobius Math Academy