The figure shows a right triangle ACB,
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)
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Geometry software that can be used to learn and research:
Geometry Expressions, Cabri, Cinderella, GeoGebra, Geometer Sketchpad, C.a.R., TracenPoche, Mathematica.