GeometrySection 7.4

Special Right Triangles

45°-45°-90° Triangle

Formed by cutting a square in half.

n

n

45°-45°-90° Triangle Theorem

In a 45°-45°-90° triangle, the hypotenuse is times as long as the legs

2

Find the lengths of the sides of a 45°-45°-90° Triangle

Find the length of the hypotenuse of a triangle with leg lengths of 8.

Find the length of the hypotenuse of a triangle with leg lengths of

Find the length of the legs of a triangle with an hypotenuse of

2

22

30°-60°-90° Triangle

Given an equilateral triangle with side lengths of 2:

30°-60°-90° Triangle Theorem

In a 30°-60°-90° triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is times as long as the shorter leg

3

Find the lengths in a 30°-60°-90° triangle

Find the length of a leg, if the shorter leg is 2, and the hypotenuse is 4.

Find the length of the hypotenuse and longer leg if the shorter leg is 3

Assignment

Section 7.4Page 461Problems # 4-18 even, 24, 28