Question

Take three collinear points P,Q and R on a page. Join PQ, QR, RP. Is the figure formed a triangle? if not why?​

Answer 1

Answer:

as Points are collinear hence figure is not a triangle

Take three collinear points P, Q and R

There can be three cases

Case 1 : P is in middle

Case 2 : Q is in middle

Case 3 : R is in middle

Case 1 : QP + RP = QP ( hence sum of two side not greater than third side) so this can not be triangle

Case 2 : PQ + QR = PR ( hence sum of two side not greater than third side) so this can not be triangle

Case 3 : PR + RQ = PQ ( hence sum of two side not greater than third side) so this can not be triangle

as Points are collinear hence figure is not a triangle