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You are correct the third side can not be 3 But has to be less.
If for example the angle is then it has area:
And Area is given by: That would give me a maximum area of 1??
If sides are: the last side would be ??
If this is the correct solution its not pretty, hope it was somewhat helpful....
Hello everyoneYes, I think this is correct. I didn't have any more time to think about this yesterday (it's now 7:15 am UK time), but I had come to the same conclusion overnight. With as base, the maximum height possible is 1, where and the angle between these two sides is . So , and the area is sq unit.
Grandad