Question : The lengths of the two sides of a triangle are 14 cm and 9 cm. Which of the options below can be the length of the third side?
Option 1: 17 cm
Option 2: 23 cm
Option 3: 24 cm
Option 4: 5 cm
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Correct Answer: 17 cm
Solution :
We know that the sum of the length of either two sides of a triangle must be more than the third side.
So, the third side < (14 + 9)
Or, the third side < 23
Also, the difference in lengths of any two sides of a triangle is smaller than the third side.
So, the third side > (14 – 9)
Or, the third side > 5
Out of all options, 17 cm satisfies these conditions.
Hence, the correct answer is 17 cm.
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