# Incircles and a Cevian

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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.

Contributed by: Jay Warendorff (March 2011)

After work by: Antonio Gutierrez

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

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

## Permanent Citation

"Incircles and a Cevian"

http://demonstrations.wolfram.com/IncirclesAndACevian/

Wolfram Demonstrations Project

Published: March 7 2011