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2015 JHMT
9
2015 JHMT Geometry #9
2015 JHMT Geometry #9
Source:
September 5, 2023
geometry
Problem Statement
In a triangle
A
B
C
ABC
A
BC
, two angle trisectors of
A
A
A
intersect with
B
C
BC
BC
at
D
D
D
and
E
E
E
respectively so that
B
,
D
,
E
,
C
B,D,E,C
B
,
D
,
E
,
C
comes in order. If we have
B
D
=
3
BD = 3
B
D
=
3
,
D
E
=
1
DE = 1
D
E
=
1
and
E
C
=
2
EC = 2
EC
=
2
, find
∠
D
A
E
\angle DAE
∠
D
A
E
.
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