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Bunuel
In Triangle X, the length of one side is 5 and the other side is 14. Which of the following could possibly be the length of the third side?

A. 6
B. 8
C. 14
D. 21
E. 28

Solution


    • According to the side properties of a triangle:
      o Difference of the length of the two sides < the length of the third side < sum of the two sides.
      ⟹ (14 – 5) < The length of the third side of triangle X < (14 + 5)
      ⟹ 9 < The length of the third side of triangle X < 21
      o The only answer option which is in the above range is 14.
Thus, the correct answer is Option C.
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Mod ( difference of two sides ) < third side < sum of 2 sides

9< third side < 19

Answer- C

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