Geometry Problem: Machu Picchu Inca Trail

 Problem 263. Triangle, Median, Altitude, Orthogonal Projection, Sides

The figure shows a triangle ABC, BE is the median and BH the altitude. If AB = c, BC = a, AC = b and EH = d prove that Formula to prove.

Triangle sides and Median projection
 

Geometry software that can be used to learn and research:

Geometry Expressions, Cabri, Cinderella, GeoGebra, Geometer Sketchpad, C.a.R., TracenPoche, Mathematica.

See also:
 

   Median length, Apollonius' Theorem
  Pythagoras Theorem
  Euclid's Elements Book II Proposition 13

 

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