Question

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 10 â x 2 y=10-x2. what are the dimensions of such a rectangle with the greatest possible area?

Answer 1

A rectangle is inscribed in an isosceles triangle. If the sides of the triangle are 10, 10 and 12, what are the dimensions of the rectangle having the greatest area? The diagram shows the triangle on a set of axes with base 12 on the x-axis and the top vertices on the y-axis.