Difference between revisions of "1985 OIM Problems/Problem 6"
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Revision as of 12:42, 13 December 2023
Problem
Given triangle , we consider the points
,
, and
of lines
,
, and
respectively. If lines
,
, and
all pass through the center
of the circumference of triangle
, which radius is
, proof that:
$$ (Error compiling LaTeX. Unknown error_msg)\frac{1}{AD}+\frac{1}{BE}+\frac{1}{CE}=\frac{2}{r}
Solution
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