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2023 MOAA
18
18
Part of
2023 MOAA
Problems
(1)
2023 MOAA Gunga P18
Source:
10/15/2023
Triangle
△
A
B
C
\triangle{ABC}
△
A
BC
is isosceles with
A
B
=
A
C
AB = AC
A
B
=
A
C
. Let the incircle of
△
A
B
C
\triangle{ABC}
△
A
BC
intersect
B
C
BC
BC
and
A
C
AC
A
C
at
D
D
D
and
E
E
E
respectively. Let
F
≠
A
F \neq A
F
=
A
be the point such that
D
F
=
D
A
DF = DA
D
F
=
D
A
and
E
F
=
E
A
EF = EA
EF
=
E
A
. If
A
F
=
8
AF = 8
A
F
=
8
and the circumradius of
△
A
E
D
\triangle{AED}
△
A
E
D
is
5
5
5
, find the area of
△
A
B
C
\triangle{ABC}
△
A
BC
.Proposed by Anthony Yang and Andy Xu
MOAA 2023