#include <iostream>
#include <cmath>
 
using namespace std;
 
int main(int argc, char **argv)
{
    int n;
    float x1, y1, x2, y2, x3, y3, a1, a2, b1, b2, c1, c2;
    cin >> n;
    while(n--){
        cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;
        a1 = 2*(x2-x1);
        b1 = 2*(y2-y1);
        c1 = x1*x1 - x2*x2 + y1*y1 - y2*y2;
        a2 = 2*(x3-x1);
        b2 = 2*(y3-y1);
        c2 = x1*x1 - x3*x3 + y1*y1 - y3*y3;
         
        x3 = (b1*c2-b2*c1)/(a1*b2-a2*b1);
        y3 = (c1*a2-c2*a1)/(a1*b2-a2*b1);
        a1 = sqrt((x1-x3)*(x1-x3)+(y1-y3)*(y1-y3));
        printf("%.3f %.3f %.3f\n", x3, y3, a1);
    }
     
    return 0;
}