A Relation between Incircles and Excircles
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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 (March 2011)
Open content licensed under CC BY-NC-SA
This is problem 1 from the 12-th International Mathematical Olympiad.
"A Relation between Incircles and Excircles"
Wolfram Demonstrations Project
Published: March 7 2011