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The length of a rectangular box is 8cm. If its diagonal is 10cm. Find its width​

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Answer:

Explanation:

The diagonal of this rectangular box serves as the hypotenuse of the 2 right triangles that exist within this rectangle. The length is one leg, the hypotenuse is...well, the hypotenuse, so we need to use Pythagorean's Theorem to find the missing leg.


10^2=8^2+x^2 and


100-64=x^2 and


x^2=36 so

x = 6. The width is 6.

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User Donis
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