Triangles (30/60/90) - Medium to Short Side

Level 1

This math topic focuses on practicing how to calculate the missing lengths of sides in 30-60-90 triangles. It integrates the principles of the Pythagorean theorem to determine these lengths. Each question provides a different triangle with one or two side lengths given, and the task is to find the missing side. Various levels of question difficulty help reinforce understanding of relationships between the sides of these special right triangles, improving both geometric intuition and algebraic skills in applying the Pythagorean theorem.

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

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Triangles (30/60/90) - Medium to Short Side Worksheet

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Triangles (30/60/90) - Medium to Short Side
1
An svg image showing a math problem
Solve for the missing length on this triangle
a A LaTex expression showing \frac{7square root of 3}{2}
b A LaTex expression showing 7 over 2
2
An svg image showing a math problem
Solve for the missing length on this triangle
a A LaTex expression showing 2square root of 3
b A LaTex expression showing 2
3
An svg image showing a math problem
Solve for the missing length on this triangle
a A LaTex expression showing 1 over 2
b A LaTex expression showing 1
4
An svg image showing a math problem
Solve for the missing length on this triangle
a A LaTex expression showing \frac{square root of 2}{2}
b A LaTex expression showing 1 over 2
5
An svg image showing a math problem
Solve for the missing length on this triangle
a A LaTex expression showing 1
b A LaTex expression showing square root of 2
6
An svg image showing a math problem
Solve for the missing length on this triangle
a A LaTex expression showing 6
b A LaTex expression showing 3
7
An svg image showing a math problem
Solve for the missing length on this triangle
a A LaTex expression showing \frac{square root of 2}{2}
b A LaTex expression showing 1 over 2
8
An svg image showing a math problem
Solve for the missing length on this triangle
a A LaTex expression showing 2square root of 3
b A LaTex expression showing 2