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?

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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?

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Answer 1 · 2014-12-01T22:44:50

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 ( $a^{2} + b^{2} = c^{2}$ $a^2 + b^2 = c^2$ ) to solve this problem.

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

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

$576 + 324 = 900$ $576 + 324 = 900$

$\sqrt{900} = 30$ $sqrt900 = 30$

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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?

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