# Equal Chords

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Let ABC be a triangle with incenter I. Let AB and AC intersect the circle through B, I, and C at D and E, respectively, besides B and C. Then BD = CE.

Contributed by: Jay Warendorff (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

See problem 2.91(b) in V. Prasolov, *Problems in Plane and Solid Geometry*, Vol. 1, *Plane Geometry* [PDF], (D. Leites, ed. and trans.).

## Permanent Citation

"Equal Chords"

http://demonstrations.wolfram.com/EqualChords/

Wolfram Demonstrations Project

Published: March 7 2011