Prove that the points `(3, 4), (8, -6) and (13, 9)` are the vertices of a right-angled triangle.

Show that the points (3, 4), (8, -6) and (13, 9) are the vertices of a right angled 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 (-2,3), (8, 3) and (6, 7) are the vertices of a right angle 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.

Without using Pythagoras's theorem, show that the points A(1, 2), B(4, 5) and C(6, 3) are the vertices of a right-angled triangle.

Without using Pythagoras theorem, show that the points A(2,1) , B(5,4) and C(3,6) are the vertices of a right-angled triangle.

Without using Pythagoras theorem,show that the points A(0,4),B(1,2) and C(3,3) are the vertices of a right angled triangle.

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