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Railways PYQCBT 1 2016

RRB NTPC · Question 38

In a right - angled triangle, the hypotenuse is 4 cm longer than the perpendicular which is 4 cm longer than the base. Calculate the length of the hypotenuse. A. 12 cm B. 10 cm C. 20 cm D. 15 cm

  1. C

  2. A

  3. B

  4. D

Show answer & explanation

Answer: (A) C

Explanation

Let the base be b, so the perpendicular is b + 4 and the hypotenuse b + 8. By Pythagoras, b² + (b + 4)² = (b + 8)², which simplifies to b² − 8b − 48 = 0, so b = 12. The sides are 12, 16 and 20 cm, so the hypotenuse is 20 cm.