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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Trigonometry - Side Length Ratios from Diagrams
1
An svg image showing a math problem
Solve for the side length in ratio form
a A LaTex expression showing b = 7.8 over sin(A)
b A LaTex expression showing b = {sin(A)} multiplied by 7.8
c A LaTex expression showing b = sin(A) over 7.8
2
An svg image showing a math problem
Solve for the side length in ratio form
a A LaTex expression showing b = tan(A) over 9
b A LaTex expression showing b = 9 over tan(A)
3
An svg image showing a math problem
Solve for the side length in ratio form
a A LaTex expression showing b = 7.1 over sin(A)
b A LaTex expression showing b = sin(A) over 7.1
4
An svg image showing a math problem
Solve for the side length in ratio form
a A LaTex expression showing b = 5 over cos(A)
b A LaTex expression showing b = cos(A) over 5
5
An svg image showing a math problem
Solve for the side length in ratio form
a A LaTex expression showing b = 6 over cos(A)
b A LaTex expression showing b = {cos(A)} multiplied by 6
6
An svg image showing a math problem
Solve for the side length in ratio form
a A LaTex expression showing b = tan(A) over 6
b A LaTex expression showing b = {tan(A)} multiplied by 6
7
An svg image showing a math problem
Solve for the side length in ratio form
a A LaTex expression showing b = 20.9 over sin(A)
b A LaTex expression showing b = {sin(A)} multiplied by 20.9
c A LaTex expression showing b = sin(A) over 20.9
8
An svg image showing a math problem
Solve for the side length in ratio form
a A LaTex expression showing b = sin(A) over 5.7
b A LaTex expression showing b = 5.7 over sin(A)