Triangles (30/60/90) - Medium and Short Sides to Hypotenuse

Level 1

This math topic focuses on solving for missing side lengths in 30-60-90 triangles, emphasizing finding the hypotenuse given either the medium or short side. The problems form part of a unit on Pythagorean theorem concepts, intended to enhance understanding of right triangle properties and their real-world applications. Each question includes SVG images of the triangles and provides the final answers to guide learning and verification.

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

more

Triangles (30/60/90) - Medium and Short Sides to Hypotenuse Worksheet

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