A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y=196-x². What are the dimensions of the rectangle with the maximum area? What is that area?

In right ∆abc shown below, the midpoint of hypotenuse ac is located at d and segment bd is drawn.if ab = 12 and bc = 16, then explain why bd = 10. hint: consider what you know about the diagonals of a rectangle.