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In , a line through on and on is parallel to . The following measurements are taken:…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
L
M
N
\triangle LMN
△
L
M
N
, a line through
P
P
P
on
L
M
LM
L
M
and
Q
Q
Q
on
L
N
LN
L
N
is parallel to
M
N
MN
M
N
. The following measurements are taken:
L
P
=
(
x
+
20
)
cm
,
P
M
=
40
cm
,
L
Q
=
0.90
m
,
Q
N
=
45
cm
.
LP=(x+20)\,\text{cm},\quad PM=40\,\text{cm},\quad LQ=0.90\,\text{m},\quad QN=45\,\text{cm}.
L
P
=
(
x
+
20
)
cm
,
P
M
=
40
cm
,
L
Q
=
0.90
m
,
QN
=
45
cm
.
Calculate the value of
x
x
x
. (a)
80
80
80
(b)
60
60
60
(c)
20
20
20
(d)
40
40
40
Related theory
Basic Proportionality Theorem
Similarity
Basic Proportionality Theorem (BPT)
Triangles
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