#include <iostream>
#include <iomanip>
#include <cmath>

using namespace std;

int main()
{
    int num;
    cin >> num;
    double x1, x2, x3, y1, y2, y3;
    double xp, yp, r;

    while(cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3)
    {
        xp = (1/2.0)*((x1*x1+y1*y1)*(y3-y2)+(x2*x2+y2*y2)*(y1-y3)+(x3*x3+y3*y3)*(y2-y1))/(x1*(y3-y1)+x2*(y1-y3)+x3*(y2-y1));
        yp = -(x3-x2)/(y3-y2)*xp+(1/2.0)*(x3*x3-x2*x2+y3*y3-y2*y2)/(y3-y2);
        r = sqrt((x1 - xp)*(x1 - xp) + (y1 - yp)*(y1 - yp));

        cout << fixed << setprecision(3) << xp << " " << yp << " " << r << endl;
    }
}