#include <iostream>
#include <iomanip>
#include <cmath>
using namespace std;
int main() {
	int n;
	cin >> n;
	for (int i = 0; i < n; i++) {
		double x1, y1, x2, y2, x3, y3;
		cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;
		double a = 2 * x1 - 2 * x2, b = 2 * y1 - 2 * y2, c = x1 * x1 - x2 * x2 + y1 * y1 - y2 * y2, d = 2 * x1 - 2 * x3, e = 2 * y1 - 2 * y3, f = x1 * x1 - x3 * x3 + y1 * y1 - y3 * y3;
		double px = (c * e - b * f) / (a * e - b * d), py = (a * f - c * d) / (a * e - b * d), r = hypot(x1 - px, y1 - py);
		cout << fixed << setprecision(3) << px << ' ' << py << ' ' << r << endl;
	}
}
