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 Problem 81. Triangle Area, Side, Inradius, Circumradius. Level: High School, SAT Prep, College

 

 

Given a triangle ABC, the incircle of center I, inradius r, and circumradius R. If BC = a, prove that area of
triangle DIE  triangle area equation

 

 

"A great discovery solves a great problem, but there is a grain of discovery in the solution of any problem. Your problem may be modest, but if it challenges your curiosity and brings into play your inventive faculties, and if you solve it by your own means, you may experience the tension and enjoy the triumph of discovery. Such expert experiences at a susceptible age may create a taste for mental work and leave their imprint on mind and character for a lifetime." George Polya, 1944
 

 

HINTS:


See: Proposed Problem 80.

 


AREA OF A TRIANGLE:

Sides and circumradius Formula

 


 

 

 

 

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Last updated: March 12, 2008

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