#include <bits/stdc++.h>
using namespace std;

int main()
{
  int n;

  cin >> n;
  while (n--){
    double x1, x2, x3, y1, y2, y3;
    cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;

    double a1 = 2 * (x2 - x1);
    double b1 = 2 * (y2 - y1);
    double c1 = x1 * x1 - x2 * x2 + y1 * y1 - y2 * y2;

    double a2 = 2 * (x3 - x1);
    double b2 = 2 * (x3 - x1);
    double c2 = x1 * x1 - x3 * x3 + y1 * y1 - y3 * y3;

    double x = (b1 * c2 - b2 * c1) / (a1 * b2 - a2 * b1);
    double y = (c1 * a2 - c2 * a1) / (a1 * b2 - a2 * b1);

    double r = hypot(x - x1, y - y1);

    printf("%.3f %.3f %.3f\n", x, y, r);
  }
}