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In triangle PQR, a line XY parallel to QR meets PQ at X and PR at Y. If PX = 4 cm, XQ = 10 cm and PY = 6 cm, what is YR? (answer in cm)

Competition practiceGeometry
  • A15
  • B9
  • C12
  • D2.4

Step-by-Step Solution

By the basic proportionality theorem, PX/XQ = PY/YR, so 4/10 = 6/YR and YR = 60/4 = 15 cm.
Answer: A) 15

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