# 8.5: 30-60-90 Right Triangles

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30-60-90 Theorem

30-60-90 Theorem

If a triangle has angle measures of 30, 60, and 90 degrees, then the sides are in the ratio x : x : 2x30-60-90 Triangle

30-60-90 Triangle

A 30-60-90 triangle is a special right triangle with angles of , , and .Hypotenuse

Hypotenuse

The hypotenuse of a right triangle is the longest side of the right triangle. It is across from the right angle.Legs of a Right Triangle

Legs of a Right Triangle

The legs of a right triangle are the two shorter sides of the right triangle. Legs are adjacent to the right angle.Pythagorean Theorem

Pythagorean Theorem

The Pythagorean Theorem is a mathematical relationship between the sides of a right triangle, given by , where and are legs of the triangle and is the hypotenuse of the triangle.Radical

Radical

The , or square root, sign.### Image Attributions

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This concept teaches students about the 30-60-90 special right triangle and how to apply its properties.

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At Grade
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Date Created:

Jul 17, 2012
Last Modified:

Feb 26, 2015
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