# How the Altitude Divides the Hypotenuse

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: .

AB=

AC×AD

BC=

AC×DC

BD=

AD×DC

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