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.
(A) Yes,it is possible to construct a triangle with side lengths $8\,cm, 7\,cm$ and $4\,cm$.
According to the triangle inequality theorem,the sum of any two sides of a triangle must be greater than the third side.
Checking the conditions:
$8 + 7 = 15 > 4$
$8 + 4 = 12 > 7$
$7 + 4 = 11 > 8$
Since all three conditions are satisfied,the triangle can be constructed.
According to the triangle inequality theorem,the sum of any two sides of a triangle must be greater than the third side.
Checking the conditions:
$8 + 7 = 15 > 4$
$8 + 4 = 12 > 7$
$7 + 4 = 11 > 8$
Since all three conditions are satisfied,the triangle can be constructed.
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