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:
 

  Similarity
  Right Triangle

 

Home | Sitemap | Geometry | Altitude | Problems | 261-270 | Email | View or post a solution