Question

plz anyone solve this for me

Answer 1

Answer:

1:9

Step-by-step explanation:

GIVEN-

PQ║BC

AP:PB=1:2

T.F- ar(ΔAPQ):ar(ΔABC)

Solution-

∵ PQ║BC

∠APQ=∠ABC

∠AQP=∠ACB

∴ ΔABC similar to ΔAPQ

By area theorem

ar(ΔAPQ)/ar(ΔABC)=AP²/AB²

RHS=AP²/(AP+PB)²

=1²/(1+2)²

=1/9