Question

Area of largest isosceles triangle inscribed in a circle

Answer 1

As said in the title, I'm looking for the maximum area of a isosceles triangle in a circle with a radius r.

I've split the isosceles triangle in two, and I solve for the area A=bh2*. I have made my base x, and solve for the height by using the Pythagorean theorem of the smaller triangle (seen in picture).

h=r+√r2−x2