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7-3 Special Right Triangles

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Presentation on theme: "7-3 Special Right Triangles"— Presentation transcript:

1 7-3 Special Right Triangles
Geometry

2 45°-45°-90° Triangle Theorem In a 45°-45°-90° triangle, both legs are congruent and the length of the hypotenuse is 2 times the length of the leg. hypotenuse = 2 • leg

3 Ex. 1) Find the value of each hypotenuse.

4 Ex. 2) Find the value of each leg.

5 Ex. 3) A high school softball diamond is a square
Ex. 3) A high school softball diamond is a square. The distance from base to base is 60 feet. How far does a catcher throw the ball from home plate to 2nd base?

6 30°-60°-90° Triangle Theorem In a 30°-60°-90° triangle, the length of the hypotenuse is twice the length of the shorter leg. The length of the longer leg is 3 times the length of the shorter leg. hypotenuse = 2 • short leg longer leg = 3 • short leg

7 Ex. 4) Find the value of each variable.

8 Ex. 5) Find the value of each variable.


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