The bat fit diagonally across the bottom of the suitcase.
Solution:
Length of the suitcase = 20.5 inches
Width of the suitcase = 29 inches
Using Pythagorean theorem,
[tex]20.5^{2}+29^{2}=d^{2}[/tex]
[tex]420.25+841=d^{2}[/tex]
[tex]1261.25=d^{2}[/tex]
Taking square root on both sides, we get
[tex]35.5 \approx d[/tex]
Diagonal of the suitcase = 35.5 inch
Length of the base ball bat = 33 inch
35.5 > 33
Since the diagonal of the suitcase is greater than length of the baseball bat,
The bat fit diagonally across the bottom of the suitcase.
