Prove that the points (2,-2), (-2, 1) and (5, 2) are the vertices of a right angled triangle. Also find the area of this triangle.

Prove that the points (-3,0),(1,-3) and (4,1) are the vertices of an isosseles right- angled triangle.Find the area of this triangle.

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

Prove that (2,-2),(-2,1) and (5,2) are the vertices of a right angled triangle.Find the area of the triangle and the length of the hypotenuse.

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

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

Show that the points (2,0), (-2,0) and (0,2) are the vertices of a triangle. Also state with reason the type of the triangle .

Show that the points (2,-1,3), (0,1,2) and (1,-3,1) are the vertices of an isosceles right angled triangle.

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