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2015 BMT Spring
3
BMT 2015 Spring - Geometry 3
BMT 2015 Spring - Geometry 3
Source:
December 30, 2021
geometry
Problem Statement
Let
M
M
M
be on segment
B
C
BC
BC
of
△
A
B
C
\vartriangle ABC
△
A
BC
so that
A
M
=
3
AM = 3
A
M
=
3
,
B
M
=
4
BM = 4
BM
=
4
, and
C
M
=
5
CM = 5
CM
=
5
. Find the largest possible area of
△
A
B
C
\vartriangle ABC
△
A
BC
.
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