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Mathematics
Mathematics
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
,
D
D
D
and
E
E
E
are the midpoints of
A
B
AB
A
B
and
A
C
AC
A
C
respectively. The line through
D
D
D
parallel to
A
C
AC
A
C
meets
B
C
BC
B
C
at
P
P
P
. Prove that quadrilateral
B
D
E
P
BDEP
B
D
E
P
is a parallelogram.
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