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