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Byju's Answer
Standard XII
Mathematics
Distance Formula
If the vertic...
Question
If the vertices of a triangle are
(
−
2
,
0
)
,
(
2
,
3
)
and
(
1
,
−
3
)
, then the triangle is
A
equilateral
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B
right angled
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C
isosceles
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D
scalene
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Solution
The correct option is
D
scalene
Let
A
=
(
−
2
,
0
)
,
B
=
(
2
,
3
)
and
C
=
(
1
,
−
3
)
Now,
A
B
=
√
(
−
4
)
2
+
(
−
3
)
2
=
5
B
C
=
√
(
1
)
2
+
(
6
)
2
=
√
37
A
C
=
√
(
−
3
)
2
+
(
3
)
2
=
3
√
2
As
A
B
≠
B
C
≠
A
C
and
B
C
2
≠
A
B
2
+
A
C
2
, so the triangle is scalene.
Suggest Corrections
3
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Standard XII Mathematics
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