Homework Help: Mathematics

Posted by Maximillion Stone on Monday, September 7, 2009 at 4:27pm.

Let 5a+12b and 12a+5b be the side lengths of a right-angled triangle and 13a+kb be the hypotenuse, where a,b and k are positive integers. find the smallest possible value of k and the smallest values of a and b for that k.

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