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10
BMT 2021 General p10
BMT 2021 General p10
Source:
September 27, 2023
geometry
Problem Statement
Triangle
△
A
B
C
\vartriangle ABC
△
A
BC
has side lengths
A
B
=
A
C
=
27
AB = AC = 27
A
B
=
A
C
=
27
and
B
C
=
18
BC = 18
BC
=
18
. Point
D
D
D
is on
A
B
‾
\overline{AB}
A
B
and point
E
E
E
is on
A
C
‾
\overline{AC}
A
C
such that
∠
B
C
D
=
∠
C
B
E
=
∠
B
A
C
\angle BCD = \angle CBE = \angle BAC
∠
BC
D
=
∠
CBE
=
∠
B
A
C
. Compute
D
E
DE
D
E
.
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