Prove that the points (2 a, 4 a), (2 a, 6 a) and are the vertices of an equilateral triangle.

Vertices of a triangle ABC are: A(2 a, 4 a), B(2 a, 6 a) and C


Length of side AB =


Length of side AB = = = 2a units


Length of side BC = = a + a units


Length of side AC = = a + a units


The given vertices are not the vertices of an equilateral triangle


11