Question

Can that the points (2, – 2), (– 2, 1) and (5, 2) be vertices of a right angled triangle? show how?

Answer 1

Say, these are the vertices P,Q,R of a triangle PQR. First, we will calculate the distances PQ, QR and RP by applying distance formula_under root[ (x2-x1) whole square +(y2-y1) whole square. Once you obtain all the three distances, try to apply pythagoratheorem and if it is verified then traingle PQR is a right-angled triangle by converse of pyth theorem.