A right triangle is inscribed in a circle with a diameter 100 units long. What is the maximum perimeter of the triangle?

Max Perimeter = 100 + 2(25√8)

If a right-angled triangle is inscribed in a circle then the hypotenuse must be a diameter.

I can prove it with calculus but the longest perimeter will be when the other two sides are equal. Let them be x

100^2 = 2x^2

solve for x then find the perimeter.