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Catriona's Circle in a Triangle

Author:
John Golden
Topic:
Area, Circle
Catriona Agg (neé Shearer) shared this sweet little puzzle: what is the area of a circle inscribed in a 13, 14, 15 triangle. https://twitter.com/Cshearer41/status/1299281163228516352?s=20 Such an elegant observation, I thought we might want to look for more.

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