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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 on theme: "Geometry Section 7.4 Special Right Triangles. 45°-45°-90° Triangle Formed by cutting a square in half. n n."— Presentation transcript:

1 Geometry Section 7.4 Special Right Triangles

2 45°-45°-90° Triangle Formed by cutting a square in half. n n

3 45°-45°-90° Triangle Theorem In a 45°-45°-90° triangle, the hypotenuse is times as long as the legs

4 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

5 30°-60°-90° Triangle Given an equilateral triangle with side lengths of 2:

6 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

7 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

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


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