#include <iostream>                                           
#include <cmath>                                              
#include <cstdio>                                             
using namespace std;                                          
                                                              
int main() {                                                  
  int n;                                                      
  double x1, y1, x2, y2, x3, y3;                              
  double x, y, r;                                             
  double 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;                             
                                                              
    x = (b1*c2-b2*c1)/(a1*b2-a2*b1);                          
    y = (c1*a2-c2*a1)/(a1*b2-a2*b1);                          
                                                              
    r = hypot(x-x1,y-y1);                                     
                                                              
    printf("%.3f %.3f %.3f\n", x, y, r);                      
  }                                                           
                                                              
  return 0;                                                   
}                    