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The centroid of is . Find ​

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The centroid of $\triangle ABC$ is $G$. Find $BG.$

[asy] unitsize (1 cm);pair A, B, C, G;A = (5,0);B = (0,0);C = (0,3);G = (A + B + C)/3;draw(A--B--C--cycle);draw(A--G);draw(B--G);draw(C--G);draw(rightanglemark(A,B,C,8));label(

 Apr 29, 2022

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BG = 2*sqrt(3).

 Apr 29, 2022

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