Prove that the points `(5,3,2),(3,2,5) and (2,5,3)` are the vertices of an equilateral triangle.

Prove that the points (4, 3), (6, 4), (5, 6) and (3, 5) are the vertices of a square.

Prove that the point (4, 3), (6, 4), (5, 6) and (3, 5) asre the vertices of a square.

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 points (2,-1,1),(1,-3,-5) and (3,-4,-4) are the vertices of a righat angled triangle.

Prove that the points A(-5,4),B(-1,-2) and C(5,2) are the vertices of an isosceles right angled triangles.

Prove that the points (5, -2), (-4, 3) and (10, 7) are the vertices of an isosceles right-angled triangle.

STATEMENT-1 : The points (2, 3, 5), (7, 5, 7) and (-3, 1, 3) are vertices of an equilateral triangle. and STATEMENT-2 : The triangle with equal sides is called an equilateral triangle.

Show that the points P (0, 5), Q(5, 10) and R(6, 3) are the vertices of an isosecles triangle.

Prove that the points (3, 2), (6, 3), (7, 6) and (4, 5) are the vertices of a parallelogram. Is it a rectangle?

Show that the points (7, 10), (-2, 5), and (3, -4) are the vertices of an isosceles right triangle.