Q. 83.6( 28 Votes )

Show that the points A(1, 2), B(1, 6), C(1 + 2 √3, 4) are vertices of an equilateral triangle.

Answer :

For an equilateral triangle, all its sides are equal.

According to the distance formula, the distance 'd' between two points (a,b) and (c,d) is given by
.....(1)


Length AB = = = 4


Length BC = = = 4


Length AC = = = 4


Hence The given points form an equilateral triangle.


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