#include<cstdio>
#include<cmath>
 
//#include<iostream>
using namespace std;
 
int main(){
    int n;
    float x1, y1, x2, y2, x3, y3, xp,yp, xq, yq, s1, sr1, s2, sr2;
    float b1, b2, xc, yc, r;
    scanf("%d", &n);
    while(n--){
        scanf("%f%f%f%f%f%f",&x1, &y1, &x2, &y2, &x3, &y3);
 
        if(!(y2-y1)){ 
            r=x1; x1=x3; x3=r; r=y1; y1=y3; y3=r;
        }
        xp=(x2+x1)/2; yp=(y2+y1)/2;
        xq=(x3+x1)/2; yq=(y3+y1)/2;
        sr1=-(x2-x1)/(y2-y1); b1=yp-sr1*xp;
        sr2=-(x3-x1)/(y3-y1); b2=yq-sr2*xq;
 
        xc=-(b1-b2)/(sr1-sr2);
        yc=sr1*xc+b1;
        r=sqrt((xc-x1)*(xc-x1)+(yc-y1)*(yc-y1));
        printf("%.3f %.3f %.3f\n",xc, yc, r);
    }
    return 0;
}