# 12.5 - 12-5 Similarities in Right Triangles A Theorem 12-8...

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Unformatted text preview: 12-5 Similarities in Right Triangles A) Theorem 12-8 a. In any right triangle, the altitude to the hypotenuse separates the triangle into two triangles which are similar to each other and to the original triangle b. c. Proof: i. Why is? ii. Why is B) Theorem 12-9 a. Given a right triangle and the altitude to the hypotenuse i. The altitude is the geometric mean of the segments into which it separates the hypotenuse ii. Each leg is the geometric mean of the hypotenuse and the segment of the hypotenuse adjacent to the leg. 1) 2) 3) C) Examples a. ...
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12.5 - 12-5 Similarities in Right Triangles A Theorem 12-8...

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