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How the Altitude Divides the Hypotenuse
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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"How the Altitude Divides the Hypotenuse" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/HowTheAltitudeDividesTheHypotenuse/
Contributed by: Jay Warendorff
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