Question

Which of the following sets of side lengths will form a triangle?

$3$ cm, $4$ cm, $7$ cm.

Answer 1

Given side length of the triangle are $3$ cm, $4$ cm, $7$ cm.

We know that the sum of any two sides of a triangle is greater than the third side.

Let us check if the set of lengths follows the properties of the side of a triangle.

$3+4=7=7,$

$3+7=10>7,$

$4+7=11>7$

So, the given side lengths are not a form of triangle.

Hence, we cannot form a triangle using above lengths as its side.