#include <stdio.h>
#include <math.h>

int main(void)
{
	float x1, x2, x3, y1, y2, y3;
	float xp, yp, r;
	float rs;
	int n;
	
	scanf("%d", &n);
	
	while (n){
		scanf("%f %f %f %f %f %f", &x1, &y1, &x2, &y2, &x3, &y3);
		
		yp = ((y1 - y3) * (y1 * y1 - y2 * y2 + x1 * x1 - x2 * x2) - (y1 - y2) * (y1 * y1 - y3 * y3 + x1 * x1 - x3 * x3)) / (2 * (y1 - y3) * (x1 - x2) - 2 * (y1 - y2) * (x1 - x3));
		xp = ((x1 - x3) * (x1 * x1 - x2 * x2 + y1 * y1 - y2 * y2) - (x1 - x2) * (x1 * x1 - x3 * x3 + y1 * y1 - y3 * y3)) / (2 * (x1 - x3) * (y1 - y2) - 2 * (x1 - x2) * (y1 - y3));
		r = sqrt((x1 - xp) * (x1 - xp) + (y1 - yp) * (y1 - yp));
		
		printf("%.3f %.3f %.3f\n", xp, yp, r);
	}
	
	return (0);
}