MathDB

Angle chasing I believe...

Source: Unknown

December 1, 2019

geometryTST

Problem Statement

Let

\omega

be the incircle of

\triangle ABC

and

D,E,F

be the tangency points on

AB, AC

. In

\triangle DEF

let the altitudes from

E,F

to

FD,DE

intersect

AB, AC

at

X ,Y

. Prove that the second intersection of

(AEX)

and

(AFY)

lies on

\omega

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