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SSC CHSL 2024 · PYQ · Geometry · medium

The areas of two similar triangles APQR and AXYZ are 12.96 cm² and 635.04 cm², respectively. If QR = 2.9 cm, then the length (in cm) of YZ equals:

  1. A.30.4
  2. B.25.2
  3. C.20.3✓ Correct
  4. D.23.2

Explanation

For similar triangles, ratio of areas = square of ratio of corresponding sides. √(635.04/12.96) = √49 = 7. So YZ = QR × 7 = 2.9 × 7 = 20.3 cm.
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