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

using namespace std;

void solve()
{
    int n;
    cin >> n;
    while(n--)
	{
		double x1, y1, x2, y2, x3, y3;
		cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;
		double a1 = 2 * (x2 - x1);
		double a2 = 2 * (x3 - x1);
		double b1 = 2 * (y2 - y1);
		double b2 = 2 * (y3 - y1);
		double c1 = x1 * x1 - x2 * x2 + y1 * y1 - y2 * y2;
		double c2 = x1 * x1 - x3 * x3 + y1 * y1 - y3 * y3;
		double x = (b1 * c2 - b2 * c1) / (a1 * b2 - a2 * b1);
		double y = (c1 * a2 - c2 * a1) / (a1 * b2 - a2 * b1);
		double r = sqrt((x1 - x) * (x1 - x) + (y1 - y) * (y1 - y));
		printf("%.3f %.3f %.3f\n", x, y, r);
	}
}

int main()
{
	solve();
	return(0);
}