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In with vertices
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
X
Y
Z
\triangle XYZ
△
X
Y
Z
with vertices
X
(
2
,
1
)
X(2,1)
X
(
2
,
1
)
,
Y
(
8
,
3
)
Y(8,3)
Y
(
8
,
3
)
and
Z
(
4
,
9
)
Z(4,9)
Z
(
4
,
9
)
, let
L
L
L
,
M
M
M
and
N
N
N
be the mid-points of
Y
Z
YZ
Y
Z
,
Z
X
ZX
Z
X
and
X
Y
XY
X
Y
respectively. What is the ratio
[
△
L
M
N
]
:
[
△
X
Y
Z
]
[\triangle LMN]:[\triangle XYZ]
[
△
L
M
N
]
:
[
△
X
Y
Z
]
? (a)
1
:
2
1:2
1
:
2
(b)
1
:
3
1:3
1
:
3
(c)
1
:
4
1:4
1
:
4
(d)
1
:
6
1:6
1
:
6
Related theory
Quadrilaterals
Areas of Similar Triangles
Similarity
Triangles
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