This is the only solution, except that you may reverse the arrangement from left to right.
For more about this puzzle, see:
Exact Difference Triangles,Bulletin of the Institute of Mathematics, Academica Sinica, Old Series 5 (1977), No. 1, 191–197;
Triangles of Absolute Differences,in Thane Plambeck and Tomas Rokicki (eds.), Barrycades and Septoku: Papers in Honor of Martin Gardner and Tom Rodgers, Providence, R.I., MAA Press, 2020 (AMS / MAA Spectrum, v. 100), 115–124.