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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. 1. c 2 = c 2 – 4 2 = 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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