The height of the triangle is .
The area of the rectangle is
The area of the triangle is
We have Replacing h we get
A rectangle of base b and height h and an isosceles triangle of base b are inscribed in a circle of radius one as shown. For what values of b and h will the rectangle and triangle have the same area?
How would you solve this? I got an expression for the height of the triangle, but it led to h=0, or b=0. Thanks in advance.