SOLUTION: The dimensions of a rectangular box are length = 15 in., width = 12 n., and height = 9 in. Use the Pythagorean theorem to find the following. A. the length of a diagonal of the

Algebra ->  Radicals -> SOLUTION: The dimensions of a rectangular box are length = 15 in., width = 12 n., and height = 9 in. Use the Pythagorean theorem to find the following. A. the length of a diagonal of the       Log On


   

Question 1025716: The dimensions of a rectangular box are length = 15 in., width = 12 n., and height = 9 in. Use the Pythagorean theorem to find the following.
A. the length of a diagonal of the bottom of the box
B. the length of a diagonal of the box, d


Answer by ikleyn(52781) About Me  (Show Source):
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The dimensions of a rectangular box are length = 15 in., width = 12 n., and height = 9 in. Use the Pythagorean theorem to find the following.
A. the length of a diagonal of the bottom of the box
B. the length of a diagonal of the box, d
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A. the length of a diagonal of the bottom of the box = sqrt%2815%5E2+%2B+12%5E2%29 = sqrt%28225+%2B+144%29 = sqrt%28269%29 = 17 in.


B. the length of a diagonal of the box, d = sqrt%2815%5E2+%2B+12%5E2+%2B+9%5E2%29 = sqrt%28269+%2B+81%29 = sqrt%28350%29 = 18.71 in. (approximately).