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Problem 81.
Triangle Area, Side, Inradius, Circumradius.
Level: High School, SAT Prep, College |
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Given a triangle ABC, the incircle of center I, inradius r,
and circumradius R. If BC = a, prove
that area of
triangle DIE
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"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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