Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
In , point lies on and point lies on . If , , and where , for which value of will be…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
X
Y
Z
\triangle XYZ
△
X
Y
Z
, point
M
M
M
lies on
X
Y
XY
X
Y
and point
N
N
N
lies on
X
Z
XZ
X
Z
. If
X
M
=
x
+
2
cm
XM = x + 2\,\text{cm}
X
M
=
x
+
2
cm
,
M
Y
=
6
cm
MY = 6\,\text{cm}
M
Y
=
6
cm
,
X
N
=
4
cm
XN = 4\,\text{cm}
X
N
=
4
cm
and
N
Z
=
x
cm
NZ = x\,\text{cm}
N
Z
=
x
cm
where
x
>
0
x>0
x
>
0
, for which value of
x
x
x
will
M
N
MN
M
N
be parallel to
Y
Z
YZ
Y
Z
? (a)
2
2
2
(b)
6
6
6
(c)
4
4
4
(d)
40
(
≈
6.32
)
\sqrt{40}\; (\approx 6.32)
40
(
≈
6.32
)
Related theory
Ratio and Proportion
Basic Proportionality Theorem
Similarity
Basic Proportionality Theorem (BPT)
Triangles
Browse the problem library