Is it possible to construct a triangle

Question:

Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm? Give reason for your answer.

Solution:

No. Here, we see that  9 + 7 =16 < 17

i.e., the sum of two sides of a triangle is less than the third side.

Hence, it contradicts the property that the sum of two sides of a triangle is greater than the third side. Therefore, it is not possible to construct a

triangle with given sides.

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