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**Special Right Triangles**

Objectives: To use the properties of 45°-45°-90° and 30°-60°-90° triangles.

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**Isosceles Right Triangle 45°-45°-90° Triangle**

b a 1 2 3 4 5 l

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Example

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**x In a 45°-45°-90° triangle, the hypotenuse is times as long as a leg.**

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Example Find the hypotenuse. 13 ft 13√2 ft

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**30°-60°-90° Triangle c a b a =1 a = 2 a = 3 c b a = 4 a = 5 a= a a 30°**

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Example

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In a 30°-60°-90° triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is as long as the shorter leg. 30° 60° x 2x

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Example Find the remaining sides. 30° 60° 12

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Equilateral Triangle 30° c b 60° a (a is the shortest leg)

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