Geometry, Theorems and Problems

 
 Problem 266. Right Triangle, Altitude, Geometric Mean

The figure shows a right triangle ACB, prove that the altitude to the hypotenuse (CH) is the mean proportional between the segments of the hypotenuse (BH, AH). View or post a solution.

Right triangle, altitude, geometric mean
 

 

See also: 

  Similarity
  Right Triangle

 

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