hello everyone,
I have been having a bit of trouble answering the question in the image, I am trying to prepare for an exam and have no one to help.
Thank you, your help is appreciated.
to prove AM>GM consider the centre of the circle(call it C) and join it with the "top most" point of the circle in the figure. call the top most point as K. then you can easily see from the figure that CK>PM. CK=radius of the circle. can you prove that the radius of the circle is (x+y)/2 (which is the arithmetic mean of x and y)??