#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <ctime>
#include <cassert>
#include <iostream>
#include <cctype>
#include <sstream>
#include <string>
#include <list>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <utility>
#include <numeric>
#include <algorithm>
#include <bitset>
#include <complex>
#include <fstream>
using namespace std;
typedef long long ll;
const double EPS = 1e-9;
typedef vector<int> vint;
typedef pair<int, int> pint;
#define rep(i, n) REP(i, 0, n)
#define ALL(v) v.begin(), v.end()
#define MSG(a) cout << #a << " " << a << endl;
#define REP(i, x, n) for(int i = x; i < n; i++)
template<class T> T RoundOff(T a){ return int(a+.5-(a<0)); }
template<class T, class C> void chmax(T& a, C b){ if(a < b) a = b; }
template<class T, class C> void chmin(T& a, C b){ if(b < a) a = b; }
template<class T, class C> pair<T, C> mp(T a, C b){ return make_pair(a, b); }


struct P{ double x, y; };


int main()
{
	int n;
	cin >> n;
	
	rep(i, n)
	{
		vector<P> v(3);

		rep(i, 3)
			cin >> v[i].x >> v[i].y;

		double a = v[0].x - v[1].x;
		double b = v[0].y - v[1].y;
		double c = v[1].x - v[2].x;
		double d = v[1].y - v[2].y;

		double A = pow(v[1].x, 2.0) - pow(v[0].x, 2.0) + pow(v[1].y, 2.0) + pow(v[0].y, 2.0);
		double B = pow(v[2].x, 2.0) - pow(v[1].x, 2.0) + pow(v[2].y, 2.0) + pow(v[1].y, 2.0);

		double acbd = a * d - b * c;

		double x = -(A * d - B * b) / acbd / 2;
		double y = -(A *-c + B * a) / acbd / 2;

		double r = sqrt(pow(x - v[0].x, 2.0) + pow(y - v[0].y, 2.0));


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