Saturday 12 December 2009

Problem with Unexpected Result


Here is a quick problem with a result which surprised me...


Graph a semi-circle with the center at the origin ... then graph y=2x... The point of intersection is the right angle of a right triangle whose hypotenuse is the diameter. Find the ratio of the legs...

1 comment:

I. J. Kennedy said...

Nice! Leads to a convenient way to construct golden rectangles.