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The length of the hypotenuse of a right angle triangle is 3 more cm than the shortest leg. The longest leg is 1.5 cm longer

"The length of the hypotenuse of a right angle triangle is 3 more cm than the shortest leg. The longest leg is 1.5 cm longer than the shortest leg. Of the 3 side lengths, only one is an integer. The value of this integer is:"

This is a quadratic function/equation problem, but I'm not sure what I should be doing to get this unknown integer. Please be thorough in any explanations.

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