Problem 6_9

Author:
angela

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.