Decide whether it is possible to construct a triangle with the given side lengths. explain your reasoning. 5cm , 7cm , 12cm

There is one theorem in triangle which states that sum of any two sides of a triangle is greater than the third side. For example, if a,b and c are three sides of a triangle, then a+b>c, b+c>a and a+c>b.

So, we will use here same concept.

Let a=5cm, b=7cm and c=12cm

a+b = 5+7 = 12cm which is equal to c.

But a+b should be greater than c.

Therefore, the triangle doesn't exist.

step-by-step explanation:

b and c