Since the diagonal of the suitcase is 30 inches and the length of the bat is 29 inches means the bat can fit into the case diagonally.
The dimension of a suitcase is-
length = 24 in.
width = 18 in.
The length of the bat = 29 in.
Clearly, the bat cannot fit vertically or horizontally in the suitcase.
Now to see if it fits diagonally in the suitcase, we apply the Pythagoras theorem to determine the diagonal of the suitcase or say the hypotenuse of the rectangular suitcase.
Thus, by Pythagoras' theorem,
[tex](hyp)^2 = opp^2 + adj^2[/tex]
[tex](hyp)= \sqrt{opp^2 + adj^2}[/tex]
[tex](hyp)= \sqrt{18^2 + 24^2}[/tex]
[tex](hyp)= \sqrt{324+ 576}[/tex]
[tex](hyp)= \sqrt{900}[/tex]
hyp = 30 in.
Hence, the diagonal of the suitcase > the length of the bat.
Since the diagonal of the suitcase is 30 inches and the length of the bat is 29 inches means the bat can fit into the case diagonally.
Read more about Pythagoras' theorem -
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