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3 years ago

A suitcase measures 24 inches long and 18 inches high, what is the diagonal length of the suitcase?

Mathematics

2 answers:

mixer [17]3 years ago

8 0

Answer:

the diagonal is 30 inches

Step-by-step explanation:

you assume a suitcase is a rectangular shape, and the diagonal length makes 2 right triangles; therefore you can use Pythagorean theorem

$a^{2}$ + $b^{2}$ = $c^{2}$ ; where a = 24, b = 18 and c is the diagonal

$24^{2}$ + $18^{2}$ = $c^{2}$

$c^{2}$ = 576 + 324

$c^{2}$ = 900

c = 30 inches

pickupchik [31]3 years ago

5 0

Answer:

The diagonal is 30 inches

Step-by-step explanation:

Assuming a rectangular suitcase (with right angles), we can use the Pythagorean theorem to solve this

a² + b² = c²

so we plug our two values to find the diagonal (hypotenuse)

24² + 18² = c²

576 + 324 = c²

900 = c²

c = √900

c = 30

The diagonal is 30 inches

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Step-by-step explanation:

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Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
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