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Railways PYQCBT 2 2017

RRB NTPC · Question 111

Given the sides of a triangle as 3.4 cm and 5.2 cm, what can be length of the third side (x) in cm?

  1. 1.8 < x < 8.6

  2. > 8.6

  3. < 1.8

  4. 3.4 < x < 5.2

Show answer & explanation

Answer: (A) 1.8 < x < 8.6

Explanation

By the triangle inequality the third side lies between the difference and the sum of the other two: 5.2 − 3.4 = 1.8 < x < 8.6 = 5.2 + 3.4.