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Byju's Answer
Standard XII
Mathematics
Distance Formula
The perimeter...
Question
The perimeter of triangle with vertices at
(
1
,
0
,
0
)
,
(
0
,
1
,
0
)
a
n
d
(
0
,
0
,
1
)
is :
A
3
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B
2
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C
2
√
2
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D
3
√
2
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Solution
The correct option is
D
3
√
2
REF.Image
A
B
=
√
1
+
1
+
0
=
√
2
B
C
=
√
0
+
1
+
1
=
√
2
A
C
=
√
1
+
0
+
1
=
√
2
Hence, perimeter of
△
A
B
C
is given by
A
B
+
B
C
+
A
C
=
3
√
2
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