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Aamirl · Answer 1 · 2023-05-27T20:12:34+0000

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:

$\begin{gathered} L<24+52 \\ \Rightarrow L<76 \end{gathered}$

If L is not the largest side, then the largest side has a measure of 52 and:

$\begin{gathered} 52<24+L \\ \Rightarrow52-24Since both conditions should meet for a triangle to be formed, then:[tex]28Therefore, the range of possible values for <strong>L </strong>is:[tex]undefined$

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