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Incircles and a Cevian

Let ABC be a triangle. Let D be a point on AC. Let the incircle of ABC intersect AC at H and let the incircles of ABD and DBC intersect BD at L and K respectively. Then DH = KL.

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The statement of the theorem is in Problem 32. Triangle, Cevian, Incircles.

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"Incircles and a Cevian" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/IncirclesAndACevian/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez
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