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

Level 1

This math topic focuses on the properties of 30-60-90 triangles, specifically calculating the lengths of the sides from short to medium using the principles of Pythagorean theorem. Each question presents a triangle with given dimensions, and the task is to determine the missing side length. The problems involve manipulating square roots and fractions to find precise measurements, sharpening skills in geometry and algebraic manipulation. This is a foundational practice within the broader study of Pythagoras' theorem.

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

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

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Triangles (30/60/90) - 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 3}{2}
b A LaTex expression showing \frac{7square 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 3square root of 3
b A LaTex expression showing 3square root of 2
3
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 1
4
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 \frac{square 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 \frac{7square root of 2}{2}
b A LaTex expression showing \frac{7square root of 3}{2}
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{square root of 2}{2}
b A LaTex expression showing \frac{square 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 \frac{7square root of 2}{2}
b A LaTex expression showing \frac{7square root of 3}{2}