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

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

Prove that the points (2a, 4a), (2a, 6a) and (2a+sqrt3a , 5a) are the vertices of an equilaterall triangle whose side is 2a

Prove that the points (2a,4a),(2a,6a) and (2a+sqrt(3)a,5a) are the vertices of an equilaterall triangle whose side is 2a

Show that the points A(1,2), B(1,6) and C(1+ 2 sqrt 3 ,4) 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.

Prove that (2a, 4a), (2a, 6a), and (2a + sqrt(3a) , 5a) 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.

Prove that the points (a, a), (-a, -a) and (-asqrt(3), asqrt(3)) are the vertices of an equilateral triangle.

Prove that the points (a, a), (-a, -a) and (-asqrt(3), asqrt(3)) are the vertices of an equilateral triangle.

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