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In , points and are on and respectively with . Points on and on are chosen so that .…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, points
D
D
D
and
E
E
E
are on
A
B
AB
A
B
and
A
C
AC
A
C
respectively with
D
E
∥
B
C
DE\parallel BC
D
E
∥
B
C
. Points
F
F
F
on
A
D
AD
A
D
and
G
G
G
on
A
E
AE
A
E
are chosen so that
F
G
∥
D
E
FG\parallel DE
F
G
∥
D
E
. Given
A
D
=
6
cm
AD = 6\,\text{cm}
A
D
=
6
cm
,
D
B
=
12
cm
DB = 12\,\text{cm}
D
B
=
12
cm
,
A
F
=
3
cm
AF = 3\,\text{cm}
A
F
=
3
cm
and
A
C
=
21
cm
AC = 21\,\text{cm}
A
C
=
21
cm
, find the length of
A
G
AG
A
G
. (a)
7
cm
7\text{ cm}
7
cm
(b)
3
cm
3\text{ cm}
3
cm
(c)
3.5
cm
3.5\text{ cm}
3.5
cm
(d)
4.5
cm
4.5\text{ cm}
4.5
cm
Related theory
Similarity of Triangles
Similarity
Basic Proportionality Theorem
Basic Proportionality Theorem (BPT)
Triangles
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