#include <iostream>
#include <cstdio>
#include <cmath>
using namespace std;
#define x1 0
#define y1 1
#define x2 2
#define y2 3
#define x3 4
#define y3 5

int main()
{
	int n;
	double xy[6],a,b,c,d,e,f,x,y,r;

	cin>>n;
	for(int i=0;i<n;i++)
	{
		for(int j=0;j<6;j++)
			cin>>xy[j];

		a=2*(xy[x2]-xy[x1]);
		b=2*(xy[y2]-xy[y1]);
		c=2*(xy[x3]-xy[x2]);
		d=2*(xy[y3]-xy[y2]);
		e=xy[y2]*xy[y2]-xy[y1]*xy[y1]+xy[x2]*xy[x2]-xy[x1]*xy[x1];
		f=xy[y3]*xy[y3]-xy[y2]*xy[y2]+xy[x3]*xy[x3]-xy[x2]*xy[x2];

		x=(d*e-b*f)/(a*d-b*c);
		y=(a*f-c*e)/(a*d-b*c);

		if(x<0)
			x-=0.0005;
		else
			x+=0.0005;
		if(y>0)
			y-=0.0005;
		else
			y+=0.0005;
		r=sqrt((xy[x1]-x)*(xy[x1]-x)+(xy[y1]-y)*(xy[y1]-y));
		r+=0.0005;

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