The shortest side of a right triangle measures 13 m. the lengths of the other two sides are consecutive integers. find the lengths of the other two sides.

So, the shortest side is 13, the other two fellows are two consecutive values.... ok... let's say the other leg is "a", a consecutive value to that will be a+1, so the hypotenuse is "a + 1" then

check the picture below

and surely you'd know what "a" is