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In , P is a point on and Q on such that
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
Δ
L
M
N
\Delta LMN
Δ
L
M
N
, P is a point on
L
M
LM
L
M
and Q on
L
N
LN
L
N
such that
P
Q
∥
M
N
PQ\parallel MN
P
Q
∥
M
N
. If
L
P
=
(
x
+
2
)
LP=(x+2)
L
P
=
(
x
+
2
)
\,cm,
P
M
=
3
PM=3
P
M
=
3
\,cm,
L
Q
=
(
2
x
+
1
)
LQ=(2x+1)
L
Q
=
(
2
x
+
1
)
\,cm and
Q
N
=
4
QN=4
QN
=
4
\,cm, determine the value of
x
x
x
. (a)
3.5
3.5
3.5
(b)
2.5
2.5
2.5
(c)
2
2
2
(d)
3
3
3
Related theory
Basic Proportionality Theorem
Similarity
Basic Proportionality Theorem (BPT)
Triangles
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