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: .[more]
Drag the orange points to change the figure.[less]
Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA
"How the Altitude Divides the Hypotenuse"
Wolfram Demonstrations Project
Published: March 7 2011