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3 years ago

8

A rectangular prism is 3 inches long, 4 inches wide and 8 inches tall. What is the length of its

1 answer:

Rus_ich [418]3 years ago

3 0

The longest diagonal is about 8.9 inches. The longest length is going to be between the two longest lengths, the width and the height. The Pythagorean theorem is a^2 + b^2 = c^2. Plug the width and height into a and b of the Pythagorean equation. (4)^2 + (8)^2 = c^2. Now simplify the equation. 16 + 64 = c^2. 80 = c^2. Now find the square root of each side. (sqrt)80 = (sqrt)c^2. If you simplify this, you will find that c is equal to about 8.9 inches.

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Explanation:

The measurements of the sides of the triangle are $AB=19$ , $AC=24$ and $m\angle A=65^{\circ}$

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<u>Area of the triangle:</u>

The area of the triangle can be determined using the formula,

${Area}=\frac{1}{2} b c \sin A$

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