Show that the points `(a,b,c),(b,c,a),(c,a,b)` 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,-1,-5), B(3,1,3) and C(9,1,-3) are the vertices of an equilateral triangle.

Show that points A(a,b+c),B(b,c+a)C(c,a+b) are collinear.

The points (-a,-b),(a,b),(a^(2),ab) are (a) vertices of an equilateral triangle (b) vertices of a right angled triangle (c) vertices of an isosceles triangle (d) collinear

Show that the points A(1,1,1) ,B(1,2,3) and C(2,-1,1) are vertices of an isosceles triangle

Show that the points A(4, 7), B(8, 4), C(7, 11) are the vertices of right angled triangle

If the points A(z),B(-z) and C(z+1) are vertices of an equilateral triangle then

If the points A(z), B(-z) and C(1-z) are the vertices of an equilateral triangle, then value of z is

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 A(3, 0), B(6, 4) and C(-1, 3) are the vertices of an isosceles right triangle.