Question

show that the points (2,4), (2,6) and (2+root3,5) are the vertices of an equilateraltriangle. Calculate the area of this triangle.

Answer 1

consider a triangle ABC as A(2,4), B(2,6) and C(2+√3,5)
when we will calculate the distance AB AC BC than this distance will same 
than the triangle is equilateral