A suitcase measures 24 inches long and 18 inches high. What is the diagonal length of the suitcase to the nearest tenth of a foot?

Diagonal

draw an immaginary line diagonal

now yo has right triangle

pythagorean theorem

if yo has a right triangle with legs legnth a and b and hypotonuse c (diagonal), then a^2+b^2=c^2

legs are 24 and 18

18^2+24^2=c^2

324+576=c^2

900=c^2

sqrt both sides

30=c

diagonal legnth=30 inches