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

2 answers

###### Question:

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

## Answers

Answer:The diagonal is 30 inchesStep-by-step explanation:Assuming a rectangular suitcase (with right angles), we can use the Pythagorean theorem to solve thisa² + b² = c²so we plug our two values to find the diagonal (hypotenuse)24² + 18² = c²576 + 324 = c²900 = c²c = √900c = 30 The diagonal is 30 inches

Answer:the diagonal is 30 inchesStep-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[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex] ; where a = 24, b = 18 and c is the diagonal[tex]24^{2}[/tex] + [tex]18^{2}[/tex] = [tex]c^{2}[/tex][tex]c^{2}[/tex] = 576 + 324[tex]c^{2}[/tex] = 900c = 30 inches

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