# 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

## Snapshots

## Details

This is problem 1 from the 12-th International Mathematical Olympiad.

## Permanent Citation

"A Relation between Incircles and Excircles"

http://demonstrations.wolfram.com/ARelationBetweenIncirclesAndExcircles/

Wolfram Demonstrations Project

Published: March 7 2011