[" Venify that points "P(-2,2),Q(2,2)" and "R(2,7)" are vertices of a right angled "],[" triangle."]

Verify that points P(-2,2),Q(2,2) and R(2,7) are vertices of a right angled triangle.

Show that the points (6,6) , (2,3) and (4,7) are the vertices of a right angled triangle

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

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

Show that the points A(-1, 1), B(2, -2) and C(8, 4) are the vertices of a right angled triangle.

Verify whether P(-2,2) , Q(2,2) and R(2,7) are the vertices of a right angled triangle or not by completing the following acitvity. PQ= sqrt([2-(-2)]^(2) + (2-2)^(2)) = square …(1) QR = sqrt((2-2)^(2) + 97-2)^(2)) = 5 …(2) PR = sqrt([2-(-2)]^(2) + (7-2)^(2))= square ...(3) from (1),(2),(3) PR^(2) = square , QP^(2) + QR^(2) = square therefore PR^(2) square PQ^(2) + QR^(2)[ = or ne ] therefore triangle "PQR" square a right angled triangle [is /is not]

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.