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

Dec 1, 2014

The diagonal length of the suitcase is 30 inches.

Assuming that the length and height of the suitcase form a right angle (90 degree angle), you can use the Pythagorean Theorem (${a}^{2} + {b}^{2} = {c}^{2}$) to solve this problem.

The diagonal length is equal to the square root of the sum of the length squared and the height squared.

${24}^{2} = 24 \cdot 24 = 576 \mathmr{and} {18}^{2} = 18 \cdot 18 = 324$

$576 + 324 = 900$

$\sqrt{900} = 30$