The of any is the sum of the lengths of its three sides. Since the given triangle is , two of its sides have the same length. Let's call the length of each congruent side
and the third unknown side
Now, we can write the expression representing the perimeter of the given triangle.
We are told that the perimeter is at most
inches which means that the perimeter is less than or equal to
It is given that
Let's substitute this value into the inequality and solve for
This inequality tells us that the length of the remaining side must be less than or equal to
cm. Note that lengths are always positive, so the more precise way to express the possible lengths is by writing the following inequality.
The length of the remaining side must be greater than
cm and less than or equal to