Question

in figure p and q are points on the sides ab and ac respectively of triangle ABC such that AB is equal to 3.5 cm is equal to 7 cm is equal to 3 cm and q is equal to 6 CM if PQ is equals to 4.5 cm find BC

Answer 1

AQ/QC 3/6 = 5/10 1/2 = 1/2 Therefore, PQ || BC [Converse of basic proportionality theorem.] ΔAPQ ~ ΔABC AP/AB = AQ/AC = PQ/BC 3/9 = 5/15 = PQ/BC PQ/BC = 1/3 BC = 3 PQ. Hence proved.