Aeneas places three circles on a plane so that each of them is tangent to the other two and their centers are the vertices of a right-angled triangle. Knowing that the measures of the radii of circles are expressed by integers, which of the following triples can represent the measures of the radii of circles?

1.3,4,5

2.5,12,13

3.7,24,25

4.2,3,10

5.8,15,17

the answer is 2,3,10, can someone explain to me how?