Geometry classes, Problem 264. Right Triangle, Altitude, Leg projection, Hypotenuse, Similarity, Geometric mean. Elearning, Interactive Software.

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)

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:

Similarity
Right Triangle