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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