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
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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

 

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