Question

Is it possible to draw a triangle with sides $5\mathrm{cm},6\mathrm{cm}\&13\mathrm{cm}$? 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 $5\mathrm{cm},6\mathrm{cm}\&13\mathrm{cm}$

Here $5+13>6$

$6+13>5$

But, $5+6<13$

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

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