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Railways PYQCBT 1 2016

RRB NTPC · Question 40

If the hypotenuse of a right-angled triangle is longer than the bigger side by 4 cm and the bigger side is longer than the smaller side by 4 cm, find out the length of the bigger side of the triangle.

  1. 12 cm

  2. 16 cm

  3. 20 cm

  4. 8 cm

Show answer & explanation

Answer: (B) 16 cm

Explanation

Let the smaller side be a, so the bigger side is a + 4 and the hypotenuse a + 8. Then a² + (a + 4)² = (a + 8)², i.e. a² − 8a − 48 = 0, so a = 12. The sides are 12, 16 and 20, and the bigger side is 16 cm.