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In triangle , two segments and are drawn parallel to such that are in this order on…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In triangle
A
B
C
ABC
A
B
C
, two segments
D
E
DE
D
E
and
F
G
FG
F
G
are drawn parallel to
B
C
BC
B
C
such that
A
,
F
,
D
A,F,D
A
,
F
,
D
are in this order on
A
B
AB
A
B
and
A
,
G
,
E
A,G,E
A
,
G
,
E
are in this order on
A
C
AC
A
C
. If
A
B
=
18
cm
AB = 18\,\text{cm}
A
B
=
18
cm
,
A
F
=
6
cm
AF = 6\,\text{cm}
A
F
=
6
cm
and
A
C
=
24
cm
AC = 24\,\text{cm}
A
C
=
24
cm
, find the length of
A
G
AG
A
G
. (a)
12
cm
12\,\text{cm}
12
cm
(b)
6
cm
6\,\text{cm}
6
cm
(c)
8
cm
8\,\text{cm}
8
cm
(d)
16
cm
16\,\text{cm}
16
cm
Related theory
Similarity of Triangles
Similarity
Basic Proportionality Theorem
Basic Proportionality Theorem (BPT)
Triangles
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