Geometry classes, Problem 266. Right Triangle, Altitude, Geometric Mean. Elearning, Interactive Software.

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).

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:

Similarity
Right Triangle