Question

Show that the point A(a, 0), B(-2, 0), C(0, av3) are the vertices of a equilateral triangle​

Answer 1

Answer:

Given : A(a, 0), B(-2, 0), C(0, av3)

AB² = (-2 - a)² + (0 - 0)²

= a² + 4 + 4a

BC² = (0 + 2 )² + ( av3 - 0 )²

= 4 + 3a²

AC² = (0 - a )² + (av3 - 0 )²

= a² + 3a² = 4a²