MathDB
2017 Geometry #5: Circumradii of Small Triangles

Source:

February 19, 2017
geometry

Problem Statement

Let ABCDABCD be a quadrilateral with an inscribed circle ω\omega and let PP be the intersection of its diagonals ACAC and BDBD. Let R1R_1, R2R_2, R3R_3, R4R_4 be the circumradii of triangles APBAPB, BPCBPC, CPDCPD, DPADPA respectively. If R1=31R_1=31 and R2=24R_2=24 and R3=12R_3=12, find R4R_4.
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