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Mathematics
Mathematics
Problem
In ΔABC,
A
B
=
15
cm
AB=15\,\text{cm}
A
B
=
15
cm
and
A
C
=
25
cm
AC=25\,\text{cm}
A
C
=
25
cm
. Points D and E are on
A
B
AB
A
B
and
A
C
AC
A
C
such that
D
E
∥
B
C
DE\parallel BC
D
E
∥
B
C
with
A
D
=
9
cm
AD=9\,\text{cm}
A
D
=
9
cm
. Points F and G are also on
A
B
AB
A
B
and
A
C
AC
A
C
respectively, nearer to A, such that
F
G
∥
B
C
FG\parallel BC
F
G
∥
B
C
and
A
F
=
6
cm
AF=6\,\text{cm}
A
F
=
6
cm
. a. (i) Find
A
E
AE
A
E
. b. (ii) Find
A
G
AG
A
G
.
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