math
posted by m .
Let 5a + 12b and 12a + 5b be the side lengths of a rightangled 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

Double post.
See
http://www.jiskha.com/display.cgi?id=1247984416