Prove that the points `(0,\ 0),\ \ (5,\ 5)` and `(-5,\ 5)` are the vertices of a right isosceles triangle.

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

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

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

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

Without using the Pythagoras theorem, show that the points (4," "4) , (3," "5) and (1," "1) are the vertices of a right angled triangle.

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

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

Show that the points (0, 7, 10), (-1, 6, 6) and (-4, 9, 6) are the vertices of an isosceles right angled triangle.