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Railways PYQCBT 1 2016

RRB NTPC · Question 99

In a right-angled triangle, the hypotenuse is 2 cm longer than the perpendicular which is 2 cm longer than the base. Calculate the length of the base. A) 6 cm B) 9 cm C) 10 cm D) 8 cm

  1. C

  2. B

  3. A

  4. D

Show answer & explanation

Answer: (C) A

Explanation

Let the base be x, the perpendicular x + 2 and the hypotenuse x + 4. x² + (x + 2)² = (x + 4)² gives x² − 4x − 12 = 0, so x = 6 cm (a 6-8-10 triangle).