Problem 6_9
GeoGebra Construction:
6_9
ABCD is a square of unit side. P is a point on BC so that the incircle of triangle ABP and the circle tangent to the lines AP, P C and CD have equal radii. Show that the length of BP satisfies the equation .
Solution:
If you graph the equation and find the root, that will be the radius of the 2 circles.