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How the Altitude Divides the Hypotenuse

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Draw the altitude to the hypotenuse of a right triangle. Then each leg is the geometric mean of the hypotenuse and the segment of the hypotenuse adjacent to that leg: and . Also, the length of the altitude is the geometric mean of the two segments: .

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Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA

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