What other information must be given in order to be able to prove the two triangles congruent by aas

Either the second or third. I think the third since the second can be proven with the given info, and then you just need to know another angle from each triangle is congruent. also, its worth knowing that it is also possible to prove similar triangles with just angle angle, since that would automatically make the last angles equal.

Shortest side: xside two: x+26side three: 2xwork: x+x+26+2x=1304x+26=130 -26 -264x=104(4x=104)/4x=26check: 26+26+26+52=130shortest side length is 26 feet