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In triangle PQR, a line ST parallel to QR meets PQ at S and PR at T. If PS = 4 cm, PQ = 10 cm and PT = 6 cm, find TR. (answer in cm)

Competition practiceGeometry
  • A9
  • B15
  • C4
  • D6

Step-by-Step Solution

SQ = 10 − 4 = 6 cm. By the basic proportionality theorem PS/SQ = PT/TR ⇒ 4/6 = 6/TR ⇒ TR = 9 cm.
Answer: A) 9

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