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 .

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.

The points A(3,1) , B (12,-2) and C(0,2) cannot be vertices of a triangle.

Show that (8,2) , (5,-3) and (0,0) are the vertices of an isosceles triangle.

Show that the points A(2,-1,3),B(1,-3,1) and C(0,1,2) are the vertices of an isosceles right angled 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 (12,8),(-2,6) and (6,0) form a right angled triangle.Also find the area of the triangle

Show that the points (-4,-4,-1),(0,2,3) and (4,6,-3) are the vertices of an isosceles right angled triangle.

Show that the points O(0, 0), A(3, sqrt(3)) "and "B(3, -sqrt(3)) are the vertices of an equilateral triangle. Find the area of this triangle.

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

Show that the points A(4,6,-5), B(0,2,3) adn C(-4,-6,-1) from the vertices of an isoscleles triangle.