Difference between revisions of "1995 OIM Problems/Problem 5"
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Latest revision as of 14:51, 13 December 2023
Problem
The circle inscribed in the triangle is tangent to
,
, and
at
,
, and
respectively. Suppose that said circle cuts
again at its midpoint
, that is,
. The lines
and
again cut the circle inscribed in
and
, respectively.
Prove that .
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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