ABC is a triangle, PQ is line segment intersecting AB at P and AC at Q and PQ II BC. AP : BP = 3 : 5 and length of PQ is 18 cm. The length of BC is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 48 cm
AP/BP = 3/5 and PQ = 18 cm
AP/AB = 3/8
Since PQ II BC, triangles APQ and ABC are similar triangles.
So,
AP/AB = PQ/BC
⇒ 3/8 = 18/BC
⇒ BC = 48 cm