#include <iostream>
#include <cmath>
#include <cstdio>
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, a2, b1, b2, c1, c2,x, y, r;
        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 = (double)(b1*c2-b2*c1)/(double)(a1*b2-a2*b1);
        y = (double)(c1*a2-c2*a1)/(double)(a1*b2-a2*b1);
        r = (double)sqrt((x-x1)*(x-x1)+(y-y1)*(y-y1));
        
        cout << x << " " << y << " " << r << endl;
    }
    return 0;
}