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

Level 1

This math topic focuses on solving for missing lengths in 30-60-90 right triangles using the properties of equilateral triangles alongside the Pythagorean theorem. It builds understanding of hypothesized sides and transitions between shorter and medium sides within the context of special right triangles, integrating core principles of geometry with arithmetic application. This serves as an engaging practice for students to apply theoretical knowledge to concrete problems, enhancing their grasp of geometric relationships and trigonometric ratios in a practical setting.

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 - Hypotenuse and Short to Medium Side Worksheet

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