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Let $O_1$ be the circumcenter of triangle $ABC,$ and let $O_2$ be the circumcenter of triangle $ACD.$ Find $O_1 O_2.$

[asy] size(5cm);pair A,B,C,D;A=(0,0);C=(4,0);B=(3,3.5);D=(6,-2.5);draw(A--B--C--D--A--C);label(

 Apr 12, 2022
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O_1 O_2 = 12*sqrt(3).

 Apr 26, 2022

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