#include <iostream>
#include <cmath>
#include <cstdio>

using namespace std;

int main() {
  int n;
  double x1, x2, x3, y1, y2, y3, x, y,
         a1, b1, c1, a2, b2, c2, r;
  cin >> n;
  for (int i = 0; i < n; i++) {
    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;
    x = (b1*c2 - b2*c1) / (a1*b2 - a2*b1);
    y = (c1*a2 - c2*a1) / (a1*b2 - a2*b1);
    r = sqrt((x - x1) * (x - x1) + (y - y1) * (y - y1));
    printf("%.3lf %.3lf %.3lf\n", x, y, r);
  }

  return 0;
}