(C need not be the hypotenuse.)
To side C attach another right triangle with integer sides C, D & E.
On this new triangle attach another right triangle to either side D or E.
Continue the process of attaching a new right triangle to the previous, creating a chain of integer right triangles.
No side length may be repeated.
If n is the number of triangles in the chain, what is the minimum largest side for n=2, 3, 4, 5, 6, 7, 8, 9, 10.