Show that the points A(1,2),B(1,6), `C(1 + 2sqrt(3),4) ` are the
vertices of an equilateral triangle .

Show that the points A(1,2), B(1,6) and C(1+ 2 sqrt 3 ,4) are the vertices of an equilateral triangle.

Show that the points A(1, 1), B(-1, -1) and C(-sqrt3, sqrt3) are the vertices of an equilateral triangle each of whose sides is 2sqrt2 units.

Prove that the points A(2, 4), B(2, 6) and C(2 + sqrt(3) , 5) are the vertices of an equilateral triangle.

Show that the points (1,1),(-1,-1) and ( -sqrt3,sqrt3 ) are the vertices of an equilateral triangle.

Show that the points (2,2) , (-2,-2) and (-2sqrt(3),2sqrt(3)) are the vertices of an equilateral triangle .

Prove that the points A(1, 1) , B(-1, -1) and C(sqrt(3), -sqrt(3)) are the vertices of an equilateral triangle.

show that the points A(1,-1,-5), B(3,1,3) and C(9,1,-3) are the vertices of an equilateral triangle.

Prove that the points A (1,2,3), B(2,3,1) and C(3,1,2) are the vertices of an equilateral triangle.

Show that the points (2,4),(2,6) and (2+sqrt 3,5) are the vertices of an equilateral triangle.

Show that the points (2a, 6a) (2a,4a) and (2a + sqrt3 a, 5a) are the vertices of an equilateral triangle of side 2a units.