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

Level 1

This math topic focuses on solving for missing lengths in 30-60-90 triangles by completing equilateral triangles. It involves applying principles of Pythagorean theorem and special triangle ratios. Each problem includes a visual representation of a triangle and requires finding specific side lengths based on given values, offering a practical exercise in geometry related to equilateral and right-angle triangles.

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

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

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