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SSC CHSL 2024 · PYQ · Geometry · medium

In ΔABC, XY is drawn parallel to BC, cutting sides at X and Y, where AB = 5.4 cm, BC = 7.2 cm and BX = 3 cm. What is the length of XY (in cm)?

Answer

The correct answer is B: 3.0. AX = AB – BX = 5.4 – 3 = 2.4 cm. By BPT, XY/BC = AX/AB = 2.4/5.4 = 4/9.

  1. A.3.2
  2. B.3.0✓ Correct
  3. C.4.3
  4. D.2.8

Explanation

AX = AB – BX = 5.4 – 3 = 2.4 cm. By BPT, XY/BC = AX/AB = 2.4/5.4 = 4/9. XY = (4/9) × 7.2 = 3.2 cm. The answer is 3.2 (option d).
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