Is it possible to construct a triangle

Question:

Is it possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and 4 cm? Give reason for your answer.

Solution:

Yes, because in each case the sum of two sides is greater than the third side. i.e., 7 + 4>8,

8+ 4 >7,  7 + 8 >4

Hence, it is possible to construct a triangle with given sides.

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