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8.5: 30-60-90 Right Triangles

Difficulty Level: At Grade Created by: CK-12
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Vocabulary

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 \sqrt{3} : 2x
30-60-90 Triangle

30-60-90 Triangle

A 30-60-90 triangle is a special right triangle with angles of 30^\circ, 60^\circ, and 90^\circ.
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 a^2 + b^2 = c^2, where a and b are legs of the triangle and c is the hypotenuse of the triangle.
Radical

Radical

The \sqrt{}, or square root, sign.

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Difficulty Level:
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Date Created:
Jul 17, 2012
Last Modified:
Feb 26, 2015
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MAT.GEO.644.L.2