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2023 MOAA Gunga P18

Source:

October 15, 2023

MOAA 2023

Problem Statement

Triangle

D

is isosceles with

AB = AC

. Let the incircle of

\triangle{ABC}

intersect

BC

and

AC

at

D

and

E

respectively. Let

F \neq A

be the point such that

DF = DA

and

EF = EA

. If

AF = 8

and the circumradius of

\triangle{AED}

is

5

, find the area of

\triangle{ABC}

.
Proposed by Anthony Yang and Andy Xu

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