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A rectangle is drawn so that the width is 68 inches longer than the height. If the rectangle's diagonal measurement is 100 inches, find the height.

Answer :

Final answer:

To find the height of the rectangle, use the Pythagorean theorem with the given information.

Explanation:

To find the height of the rectangle, we can use the Pythagorean theorem. Let the height of the rectangle be x inches. The width will then be x + 68 inches. The diagonal of the rectangle can be found using the Pythagorean theorem: x^2 + (x+68)^2 = 100^2. Solving this equation will give us the value of x, which is the height of the rectangle.

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