376. Amazing Triangle. Find a right triangle whose sides are expressed in integers, and all 9 digits involved in the notation of the sides are different.
376. If we try to find the triangle we need among those with integer sides that are mutually prime, we will be unsuccessful. However, triangles that satisfy the condition of the problem do exist. For example, we can
take $182(3,4,5)=546,728,910$. Another solution is: $178(3,4,5)=534,712,890$.

[M. Goldberg, M. M., 41, 96 (February 1968).]