Question

Abc is a triangle pq is line segment intersecting ab in p and ac in q and p and pq is parallel bc AP:bp is 3:5 and length of pq is 18cm Then find bc

Answer 1

Answer:

Step-by-step explanation:

ABC is a triangle, PQ is line segment intersecting AB in P and AC in Q and PQ || BC. The ratio of AP : BP = 3 : 5 and length of PQ is 18 cm. The length of BC is

A) 28 cm

 B) 48 cm

C) 84 cm

 D) 42 cm

Correct Answer:

 B) 48 cm

Description for Correct answer:

∵PQ||BC

So ∠AQP=∠ACB=α

and

∠APQ=∠ABC=β

So, △ABC and △APQ

APAB=PQBC

38=PQBC

38=18BC

BC=48