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Byju's Answer
Standard XII
Mathematics
Distance Formula
Verify the fo...
Question
Verify the following:
(
0
,
7
,
−
10
)
,
(
1
,
6
,
−
6
)
and
(
4
,
9
,
−
6
)
are the vertices of an isosceles triangle.
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Solution
Let three points are
A
,
B
,
C
Distance of :
A
B
=
√
(
1
−
0
)
2
+
(
6
−
7
)
2
+
(
−
6
+
10
)
2
=
3
√
2
Similarly:
B
C
=
3
√
2
and
A
C
=
3
Since:
A
B
=
B
C
≠
A
C
and
A
B
+
B
C
≠
A
C
not are collinier.
So it is a isosceles triangle.
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