Geometry, Theorems and Problems

 Problem 266. Right Triangle, Altitude, Geometric Mean

The figure shows a right triangle ACB, prove that the altitude to the hypotenuse (CH) is the mean proportional between the segments of the hypotenuse (BH, AH). View or post a solution.

Right triangle, altitude, geometric mean

Geometry software that can be used to learn and research:

Geometry Expressions, Cabri, Cinderella, GeoGebra, Geometer Sketchpad, C.a.R., TracenPoche, Mathematica.

See also:

  Right Triangle


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