Geometry, Theorems and Problems

 Problem 264. Right Triangle, Altitude, Leg projection, Hypotenuse, Similarity, Geometric mean

The figure shows a right triangle ACB, CH is the altitude. If BC = a, AC = b, AB = c, BH = m, and AH = n, prove that (1) triangles BHC, CHA and BCA are similar, (2) Formula to prove
View or post a solution.

Right triangle: leg projection, hypotenuse

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


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