For a triangle to be possible with 3 given lengths, the largest side must be lower than the sum of the two remaining sides.
Let L be the length of the third side. There are two cases:
If L is the largest side, then:

If L is not the largest side, then the largest side has a measure of 52 and:
![\begin{gathered} 52<24+L \\ \Rightarrow52-24Since both conditions should meet for a triangle to be formed, then:[tex]28Therefore, the range of possible values for <strong>L </strong>is:[tex]undefined]()