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Railways PYQCBT 1 2016

RRB NTPC · Question 23

In a right-angled triangle, the longest side is 1 cm longer than the middle side and the middle side is 49 cm longer than the shortest side. Calculate the length of the shortest side. A. 11 cm B. 10 cm C. 21 cm D. 60 cm

  1. A

  2. B

  3. D

  4. C

Show answer & explanation

Answer: (A) A

Explanation

Let the sides be x, x + 49 and x + 50. Then x² + (x + 49)² = (x + 50)², which gives x² − 2x − 99 = 0, so x = 11 cm (sides 11, 60, 61).