Question

The length of two sides of a triangle are $12cm$ and $15cm$. Between what two measures should the length of the third side fall?

Answer 1

A triangle have satisfy the coordination

$\left|a-b\right|<c<\left(a+b\right)\to \left(i\right)$

length of a side must be less the sum of the other two or more than the difference between the other two.

So, third side have more than $\left(15-12\right)=3cm\&lessthan\left(15+12\right)=27cm$

according to the equation (i) given above

$3<c<27$