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

Level 1

This math topic focuses on solving for missing lengths in 30/60/90 triangles using properties of equilateral triangles and the Pythagorean theorem. The problems involve applying geometric principles to identify and calculate the sides of triangles. Each problem provides a triangular diagram with certain side lengths and angles marked, and students are asked to compute unknown lengths, enhancing their understanding of right triangle relationships within the broader context of Pythagoras' theorem. The worksheet also offers visual representations in the form of SVG images and solutions expressed with LaTeX for clarity.

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 - Short to Medium Side Worksheet

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