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In , a line through on and on is parallel to . If , , and , determine the value of…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
X
Y
Z
\triangle XYZ
△
X
Y
Z
, a line through
M
M
M
on
X
Y
XY
X
Y
and
N
N
N
on
X
Z
XZ
X
Z
is parallel to
Y
Z
YZ
Y
Z
. If
X
M
=
2
x
−
1
XM=2x-1
X
M
=
2
x
−
1
,
M
Y
=
x
+
3
MY=x+3
M
Y
=
x
+
3
,
X
N
=
3
cm
XN=3\,\text{cm}
X
N
=
3
cm
and
N
Z
=
5
cm
NZ=5\,\text{cm}
N
Z
=
5
cm
, determine the value of
x
x
x
. (a)
10
7
\dfrac{10}{7}
7
10
(b)
2
2
2
(c)
17
13
\dfrac{17}{13}
13
17
(d)
4
7
\dfrac{4}{7}
7
4
Related theory
Basic Proportionality Theorem
Similarity
Basic Proportionality Theorem (BPT)
Triangles
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