Geometry, Theorems and Problems

 Problem 267. Right Triangle, Product of Catheti

The figure shows a right triangle ACB, prove that the product of the hypotenuse and the length of the altitude drawn to the hypotenuse equals the product of the two legs or catheti. View or post a solution.

Right triangle, product of catheti
 

Geometry software that can be used to learn and research:
Geometry Expressions, Cabri, Cinderella, GeoGebra, Geometer Sketchpad, C.a.R., TracenPoche, Mathematica.

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