SOLUTION: the width, length, and diagonal of a rectangle are consecutive even integers. What are the integers.

SOLUTION: the width, length, and diagonal of a rectangle are consecutive even integers. What are the integers.

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Question 355440: the width, length, and diagonal of a rectangle are consecutive even integers. What are the integers.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let w = width of the rectangle, which is also the shortest side of the right triangle. Then the other leg is w +2, and w+4 is the hypotenuse. Then by the Pythagorean Theorem, ,
,
,
.
Thus w = 6, and the other leg is 8, and the hypotenuse is 10.
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