A rectangular box is 8 inches in length, 3 inches in width, and 5 inches in height.

A. Suppose the three-dimensional diagonal is also the hypotenuse of a right triangle. If a vertical edge is one of the legs of that right triangle, what is the length of the second leg? Round your answer to the nearest tenth of an inch. Show all of your work.

B. Determine the length of the three-dimensional diagonal. Round your answer to the nearest tenth of an inch. Show all of your work.

A) d=8,5in

B) D=9,9in

Step-by-step explanation:

Racrangular has for a base ractangel. So we can use Pitagore’s theorem to find diagonal:

d^2=3^2+8^2=9+64=73

d=8,5in

Now, like u said, 3D diagonal is hypotenuse of right triangle, wher ona side is d and the other is heigh of ractangular. Now we can use again Pitagoras theorem:

D^2=d^2+5^2=72,25+25=97,25

D=9,86 or 9,9

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step-by-step explanation: