Answer:
The possible length of the third side 'x' must be 7 < x < 18.
Explanation:
Given : A triangle has two sides of lengths 5 and 13.
We have to find the value of the possible length of the third side.
The sum of the lengths of any two sides of a triangle must be greater than the third side.
Let length of third side be x.
the third side must be greater than the difference of other two sides,
That is 13 - 5 = 7 ⇒ x > 7
and also,
the third side must be less than the sum of other two sides,
That is 13 + 5 = 18 ⇒ x < 18
Thus, the possible length of the third side 'x' must be 7 < x < 18.