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  • 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.

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.

Answers (1)

Yes

Solution.        

Sum of two sides of triangle must be greater than third side. Here in DABC.

Let AB = 8 cm, BC = 7 cm, AC = 4 cm,

AB + BC = 8 + 7 cm = 15 cm

AB + BC > AC

and AB + AC = 8 + 4 cm = 12  cm > BC

and BC + AC = 7 + 4 cm = 11 cm > AB

Hence the answer is yes, it is possible to construct such a triangle.

Posted by

infoexpert24

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