Question

in triangle ABC,P and Q are points on sides AB and AC respectively, such that PQ || BC. if AP =3cm, PB=5cm and AC =8cm find AQ.

Answer 1

here is your answer by Sujeet,

AP/PB=AC/AQ
3/5=8/AQ
3AQ=40
AQ=40/3
AQ=13.3


that's all

Sujeet

Answer 2

Sol: AP/PB = AQ/QC 3/6 = 5/10 1/2 = 1/2

Therefore, PQ || BC [Converse of basicproportionality theorem.]

ΔAPQ ~ ΔABC

AP/AB = AQ/AC

= PQ/BC 3/9 = 5/15 =

PQ/BC PQ/BC = 1/3 BC

= 3 PQ. Hence proved.