[" Prow that the fooint "A(2,4)" ,"],[B(2,6)" ,and "C(2+sqrt(3),5)" and "],[" the verhies equilateral "]

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 (2,4),(2,6) and (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.

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

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) (2+sqrt3,5) form an equilateral triangle.

Show that the points (2,4),(2,6) (2+sqrt3,5) form an equilateral triangle.