Question

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

$9$ cm, $17$ cm, $8$ cm.

Answer 1

Given side length of the triangle are $9$ cm, $17$ cm, $8$ 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.

$9+17=26>8$,

$9+8=17=17$,

$17+8=25>9$

Since, this set does not follow triangle property

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