# Intersection of an Altitude and a Line through the Incenter

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Let ABC be a triangle with incenter I and inradius . Let M be the midpoint of BC, H the foot of the altitude drawn from A, and E the intersection of MI with AH. Then .

Contributed by: Jay Warendorff (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

See problem 5.7 in V. Prasolov, *Problems in Plane and Solid Geometry*, Vol. 1,*Plane Geometry* [PDF], (D. Leites, ed. and trans.).

## Permanent Citation

"Intersection of an Altitude and a Line through the Incenter"

http://demonstrations.wolfram.com/IntersectionOfAnAltitudeAndALineThroughTheIncenter/

Wolfram Demonstrations Project

Published: March 7 2011