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In , points and lie on and respectively such that . Points and lie on and…
MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, points
D
D
D
and
E
E
E
lie on
A
B
AB
A
B
and
A
C
AC
A
C
respectively such that
D
E
∥
B
C
DE \parallel BC
D
E
∥
B
C
. Points
F
F
F
and
G
G
G
lie on
A
D
AD
A
D
and
A
E
AE
A
E
respectively with
F
G
∥
D
E
FG \parallel DE
F
G
∥
D
E
. Given
A
D
=
3
cm
AD = 3\,\text{cm}
A
D
=
3
cm
,
D
B
=
6
cm
DB = 6\,\text{cm}
D
B
=
6
cm
,
A
E
=
4
cm
AE = 4\,\text{cm}
A
E
=
4
cm
and
A
F
=
2
cm
AF = 2\,\text{cm}
A
F
=
2
cm
, find the length of
A
G
AG
A
G
.
Related theory
Similarity of Triangles
Similarity
Basic Proportionality Theorem
Basic Proportionality Theorem (BPT)
Triangles
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