MathDB
Find area!

Source:

February 4, 2015
geometry

Problem Statement

Let O1O_1 be a point in the exterior of the circle ω\omega of center OO and radius RR , and let O1NO_1N , O1DO_1D be the tangent segments from O1O_1 to the circle. On the segment O1NO_1N consider the point BB such that BN=RBN=R .Let the line from BB parallel to ONON intersect the segment O1DO_1D at CC . If AA is a point on the segment O1DO_1D other than CC so that BC=BA=aBC=BA=a , and if the incircle of the triangle ABCABC has radius rr , then find the area of △ABC\triangle ABC in terms of a,R,ra ,R ,r.
Back to ProblemsView on AoPS