Practice30Create account

In triangle PQR, S lies on PQ and T lies on PR with ST parallel to QR. A worksheet records PS = 6 cm, PQ = 10 cm, PT = 9 cm and PR = 12 cm. If PS, PQ and PR are correct, what should PT be (in cm)?

Class 10Basic Proportionality TheoremGeometry — Similarity
  • A4.8
  • B7.2
  • C20
  • D6

Step-by-Step Solution

ST parallel to gives , so and cm (the recorded 9 cm is the misprint). The value 4.8 is , the remaining piece of ; 20 comes from inverting the proportion and is impossible anyway, since must be shorter than ; 6 simply copies .
Answer: B) 7.2

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Basic Proportionality Theorem practice questions

More Class 10 Basic Proportionality Theorem practice

Points D and E lie on the sides AB and AC of triangle ABC respectively, and DE is…A line through the point D on side AB of triangle ABC runs parallel to BC and meets AC…The side AB of triangle ABC is marked so that AD = 3k and DB = 5k for some positive…Suppose AB = 3 × AD in triangle ABC, where D lies on AB, E lies on AC, and DE is…A carpenter is cutting a triangular plywood panel ABC. He marks D on the edge AB and E…