Geometry Section 7.4 Special Right Triangles. 45°-45°-90° Triangle Formed by cutting a square in half. n n.

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Presentation transcript:

Geometry Section 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

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

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

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

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