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**Special Right Triangles**

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Essential Question How do I find the side lengths of special right triangles?

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Activator Solve. Assume all variables are positive. c2 = c2 – 42 = 42 a = 256

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Definition Special Right Triangles – right triangles whose angle measures are 45°-45°-90° or 30°-60°-90°.

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**45°-45°-90° Triangle Theorem**

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**30°-60°-90° Triangle Theorem**

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Example 1 Find the value of x.

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You Try! Find the value of x.

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Example 2 Find the value of x.

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You Try! Find the value of x.

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Example 3 Find the values of s and t.

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You Try! Find the values of f and g.

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Summarizer Can the side lengths of a 45°-45°-90° triangle form a Pythagorean Triple?

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CH 8 Right Triangles. Geometric Mean of 2 #’s If you are given two numbers a and b you can find the geometric mean. a # = # b 3 x = x 27 Ex ) 3 and 27.

CH 8 Right Triangles. Geometric Mean of 2 #’s If you are given two numbers a and b you can find the geometric mean. a # = # b 3 x = x 27 Ex ) 3 and 27.

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