Symbolic solution of one optimization problem

One interesting optimization problem.

Chain attached to two sides of the wall at the same height.

What should be the chain length, to force to the attachment points was minimal?

See below the numerical solution.

Is it possible to full analytical solution?

Best answer by AlanStevens

Or even simpler:

Alan.

Author

24-Ruby IV

More simple numerical solution in attach (without h):

.

19-Tanzanite

I can't see an analytical solution, but here's a simpler approach to a numerical solution:

Alan

Answer

19-Tanzanite

Or even simpler:

Alan.

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