olymmath

VWO 1995

Flemish Mathematical Olympiad 1995.

Other problems

Problem 3

Points A,B,C,DA,B,C,D are on a circle with radius RR . ∣AC∣=∣AB∣=500|AC|=|AB|=500 , while the ratio between ∣DC∣,∣DA∣,∣DB∣|DC|, |DA|, |DB| is 1,5,71,5,7 . Find RR .