# 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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"How the Altitude Divides the Hypotenuse"

http://demonstrations.wolfram.com/HowTheAltitudeDividesTheHypotenuse/

Wolfram Demonstrations Project

Published: March 7 2011