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Home Analytic Geometry Triangle Generalized Pythagorean Theorem
See also: Pythagorean Theorem 

Generalized Pythagorean Theorem

The generalized Pythagorean theorem is valid not only for right triangles but also for any kind of triangle.

a2 = b2 + c2 ± 2bp
b2 = a2 + c2 ± 2cq
c2 = a2 + b2 ± 2ar

with

p .... projection of c onto b
q .... projection of a onto c
r .... projection of b onto a

Last Update: 2007-Sep-03