MathDB
Find the triangles

Source: Indian Postal Coaching 2005

September 22, 2005
trigonometryquadraticsgeometryangle bisectoralgebrageometry solved

Problem Statement

Characterize all triangles ABCABC s.t. AIa:BIb:CIc=BC:CA:AB AI_a : BI_b : CI_c = BC: CA : AB where IaI_a etc. are the corresponding excentres to the vertices A,B,CA, B , C