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Mathematics
Mathematics
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, points
D
D
D
on
A
B
AB
A
B
and
E
E
E
on
A
C
AC
A
C
are such that
D
E
∥
B
C
DE \parallel BC
D
E
∥
B
C
. If
A
D
=
4
cm
AD = 4\,\text{cm}
A
D
=
4
cm
,
D
B
=
6
cm
DB = 6\,\text{cm}
D
B
=
6
cm
and
E
C
=
9
cm
EC = 9\,\text{cm}
E
C
=
9
cm
, find the length of
A
E
AE
A
E
.
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