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A Relation between Incircles and Excircles
Let ABC be a triangle and M be a point on BC. Let
,
, and
be the radii of the incircles of the triangles ACM, ABM, and ABC and let
,
, and
be the radii of the corresponding excircles tangent to BC. Then
.
Contributed by:
Jay Warendorff
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This is problem 1 from the
12-th International Mathematical Olympiad
.
RELATED LINKS
Excircles
(
Wolfram
MathWorld
)
Incircle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
A Relation between Incircles and Excircles
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ARelationBetweenIncirclesAndExcircles/
Contributed by:
Jay Warendorff
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