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

Level 1

This topic focuses on practicing the skills related to solving 30/60/90 triangles by using properties of equilateral triangles to find missing lengths. The problems specifically target the relationship between the short side and hypotenuse of these right triangles, embedding these exercises within a broader context of Pythagorean theorem applications. Each problem involves completing an equilateral triangle to solve for missing lengths, helping to reinforce the geometric and algebraic concepts associated with special right 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 - Short Side to Hypotenuse Worksheet

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Triangles (30/60/90) With Equilateral Guide - Short Side to Hypotenuse
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{7square root of 3}{2}
b A LaTex expression showing 7
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 \frac{7square root of 3}{2}
b A LaTex expression showing 7
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 2square root of 2
b A LaTex expression showing 4
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 5 over 2
b A LaTex expression showing 5
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 2}{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 7 over 2
b A LaTex expression showing 7