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Subjects
Mathematics State Board
Class 9
Coordinate Geometry
Co-ordinate system and Properties of distance
23.
Five marks exercise problems XI
Exercise condition:
5
m.
Show that the following points taken in order form an equilateral triangle in each case.
\(A(2, 2)\), \(B(-2, -2)\), \(C(-2\sqrt{3}, 2\sqrt{3})\)
Proof
:
AB
=
i
i
BC
=
i
i
CA
=
i
i
AB = BC = CA
AB ≠ BC ≠ CA
AB = BC ≠ CA
AB ≠ BC = CA
\(ABC\) is
an equilateral triangle
not an equilateral triangle
.
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