Isosceles Triangle/Circle

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what are the dimensions of the isosceles triangle with minimum area that can contain the circle inside it.

Do your results match the max from a "Brute-force" method? That means you just plug in many possible base and height lengths, do the area calculation for each, and finding the min. (excel recommended) enter image description here enter image description here

This is what I got I do not have any other information to give, I think need to find the radius first and use the derivative to find the critical points and after that minimum points that is what I think. Please correct me if I am wrong.