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

Level 1

This topic focuses on solving for missing sides in 30-60-90 triangles, utilizing properties derived from the Pythagorean Theorem. Each problem presents a triangle with known and unknown lengths, challenging the learner to calculate the missing segments. The exercises require understanding the relationships between the hypotenuse, the short side, and the medium side (which is always \( \sqrt{3} \) times the length of the shorter side) in these special right triangles. This math topic is an application of Pythagorean concepts tailored towards enhancing geometric problem-solving skills.

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

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

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