P.o.t.W. #4 Solution
Other points in the figure have been labelled as shown in Figure 1. Since a line tangent to a circle is perpendicular to the radius drawn to the point of tangency, then \(\Delta {\textrm{ABC}} and \(\Delta {\textrm{ABF}} are right triangles; and, clearly, \(\Delta {\textrm{ADC}} and \(\Delta {\textrm{AGF}} are also right triangles. \(\Delta {\textrm{ABC}} and \(\Delta {\textrm{ADC}} are a pair of similar right...