- Mr Malkin
Drag the point between the red square and the purple square. Play with it a bit. Lets define: R = area of red square B = area of blue square P = area of purple square a = the angle labelled Drag it to where the purple square is largest. Convince yourself that B + R is less than P. Drag it to where the purple square is smallest. Convince yourself that B + R is greater than P. What about in between these two points? Do you agree that there must be a point at which B + R is exactly equal to P? What would a graph of a against P look like? Is there a formula that links a and P?