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

Level 1

This math topic focuses on solving for missing lengths in 30-60-90 triangles using Pythagorean Theorem principles. It is designed to enhance understanding of triangle side ratios, specifically calculating the shorter and medium sides when the hypotenuse is given. Each question presents a triangle with specific known sides and asks learners to compute unknown lengths. Solutions require applying knowledge of special right triangle properties and basic algebraic manipulation. This is part of a broader unit on practicing Pythagoras' Theorem.

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

more

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

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