I’ve never seen this type of problem before so forgive me if I’m incorrect. But I think that the side between the larger angles will be the longest, and the one between the smaller angles would be the shortest.
We know that all triangles’ angles should add up to 180°. Add up the angles you are given, and subtract the sum from 180°.
59° + 61° = 120°
180° - 120° = 60°
So I believe that HI is the longest, and GI is the shortest.
