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In , points on and on are such that . Given , and . A line through parallel to meets…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, points
D
D
D
on
A
B
AB
A
B
and
E
E
E
on
A
C
AC
A
C
are such that
D
E
∥
B
C
DE \parallel BC
D
E
∥
B
C
. Given
A
D
=
8
cm
AD = 8\,\text{cm}
A
D
=
8
cm
,
D
B
=
12
cm
DB = 12\,\text{cm}
D
B
=
12
cm
and
A
C
=
9
cm
AC = 9\,\text{cm}
A
C
=
9
cm
. A line through
D
D
D
parallel to
A
C
AC
A
C
meets
B
C
BC
B
C
at
F
F
F
. If
B
C
=
15
cm
BC = 15\,\text{cm}
B
C
=
15
cm
, then the length
B
F
BF
B
F
(in cm) is (a)
6
6
6
(b)
12
12
12
(c)
9
9
9
(d)
10
10
10
Related theory
Similarity of Triangles
Similarity
Basic Proportionality Theorem
Properties of Triangles
Basic Proportionality Theorem (BPT)
Triangles
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