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In triangle , points and are on and respectively with . Point is on and point is on…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In triangle
A
B
C
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
. Point
P
P
P
is on
A
D
AD
A
D
and point
Q
Q
Q
is on
A
E
AE
A
E
such that
P
Q
∥
D
E
PQ \parallel DE
P
Q
∥
D
E
. Given
A
B
=
24
cm
AB = 24\,\text{cm}
A
B
=
24
cm
,
A
C
=
30
cm
AC = 30\,\text{cm}
A
C
=
30
cm
,
A
D
=
10
cm
AD = 10\,\text{cm}
A
D
=
10
cm
and
A
P
=
4
cm
AP = 4\,\text{cm}
A
P
=
4
cm
, find the length of
A
Q
AQ
A
Q
. (a)
4
cm
4\text{ cm}
4
cm
(b)
6
cm
6\text{ cm}
6
cm
(c)
5
cm
5\text{ cm}
5
cm
(d)
4.8
cm
4.8\text{ cm}
4.8
cm
Related theory
Basic Proportionality Theorem
Similarity
Triangle similarity conditions
Similarity of triangles
Triangles
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