MathDB

2016 General #7: Incircle in a 13-14-15 triangle

Source:

November 15, 2016

geometry

Problem Statement

Let ABC be a triangle with

AB = 13, BC = 14, CA = 15

. The altitude from

A

intersects

BC

at

D

. Let

\omega_1

and

\omega_2

be the incircles of

ABD

and

E

, and let the common external tangent of

\omega_1

and

\omega_2

(other than

BC

) intersect

AD

at

E

. Compute the length of

AE

.

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