Question

Is it possible to form a triangle using sides $5\mathrm{cm},4\mathrm{cm}\&9\mathrm{cm}$. Justify your answer.

Answer 1

We know the sum of the length of any two sides of the triangle is always greater than the length of the third side.

Given the length of the sides is $5\mathrm{cm},4\mathrm{cm}\&9\mathrm{cm}$.

Here $5+9>4$

$9+4>5$

But, $5+4=9$, does not follows the criteria to form a triangle.

Since any of the above cases does not fulfill the criteria of forming a triangle.

Therefore, it is not possible to form a triangle with given set of sides.