​ Prove that the points (2 a, 4 a), (2 a, 6 a) and (2a + √3a,5a ) are the vertices of an equilateral triangle ​

Question

Prove that the points (2 a, 4 a), (2 a, 6 a) and (2a + \(\sqrt3a,5a\)) are the vertices of an equilateral triangle.

Answer 1

Vertices of a triangle ABC are: A(2 a, 4 a), B(2 a, 6 a) and C (2a + \(\sqrt3a,5a\))

The given vertices are not the vertices of an equilateral triangle