7-3 Special Right Triangles

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7.3 Special Right Triangles

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Presentation transcript:

7-3 Special Right Triangles Geometry

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

Ex. 1) Find the value of each hypotenuse.

Ex. 2) Find the value of each leg.

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?

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

Ex. 4) Find the value of each variable.

Ex. 5) Find the value of each variable.