The suitcase is 28 inches long and 16 inches high . We have to find the diagonal length of suitcase.
And for that we have to use the pythagorean formula, which is
[tex] a^2 +b ^2 =c^2 [/tex]
Where c is the diagonal length and a , b are the length and height of the suitcase respectively .
Substituting the values of a and b, we will get
[tex] 28^2 +16^2 =c^2
\\
1040 = c^2
\\
c = \sqrt{1040}
\\
c = 32.25inches
[/tex]
Therefore the diagonal is 32.25 inches long .