
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)
View or post a solution.
See also:
Similarity
Right Triangle

