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Mathematics
Mathematics
Problem
In
Δ
A
B
C
\Delta ABC
Δ
A
B
C
, points D and E are taken on sides AB and AC respectively such that
A
D
=
3
cm
AD = 3\,\text{cm}
A
D
=
3
cm
,
D
B
=
5
cm
DB = 5\,\text{cm}
D
B
=
5
cm
,
A
E
=
4.5
cm
AE = 4.5\,\text{cm}
A
E
=
4.5
cm
and
E
C
=
7.5
cm
EC = 7.5\,\text{cm}
E
C
=
7.5
cm
. Prove that
Δ
A
D
E
\Delta ADE
Δ
A
D
E
is similar to
Δ
A
B
C
\Delta ABC
Δ
A
B
C
.
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