Difference between revisions of "2022 SSMO Team Round Problems/Problem 15"
(Created page with "==Problem== Consider two externally tangent circles <math>\omega_1</math> and <math>\omega_2</math> with centers <math>O_1</math> and <math>O_2</math>. Suppose that <math>\ome...") |
(No difference)
|
Latest revision as of 13:07, 14 December 2023
Problem
Consider two externally tangent circles and with centers and . Suppose that and have radii of and respectively. There exist points on and points on such that and are the external tangents of and . The circumcircle of intersects at two points and such that . If can be expressed as , where and are relatively prime positive integers, find .