Dear sir,
I am investigating into isoperimetric shapes and got stuck at proving that an isosceles triangal has a larger area with a given perimeter and that the equilateral has the largest of all trianals. I think that it has something to do with making the base of the triangle the diameter of a cirle and joining the points with a semi-circle. I have already prooved that the circle is most efficient with an isoperimetric quotient of 1. Please could you help.
Thank you, Best Wishes, Chris