#include <iostream>
#include <iomanip>
#include <sstream>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <climits>
#include <cfloat>
#include <vector>
#include <string>
#include <stack>
#include <queue>
#include <set>
#include <map>
#include <algorithm>
#include <functional>
#include <utility>
#include <numeric>
#include <iterator>

using namespace std;

typedef long long LL;
typedef unsigned long long ULL;
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<string> VS;
typedef pair<int,int> PII;
typedef istringstream ISS;
typedef ostringstream OSS;

#define REP( i, m, n ) for ( int i = (int)( m ); i < (int)( n ); ++i )
#define FOR( v, c ) for ( auto &v : c )

#define EACH( it, c ) for ( auto it = c.begin(); it != c.end(); ++it )
#define ALL( c ) (c).begin(), (c).end()
#define DRANGE( c, p ) (c).begin(), (c).begin() + p, (c).end()

#define PB( n ) push_back( n )
#define MP( a, b ) make_pair( ( a ), ( b ) )
#define EXIST( c, e ) ( (c).find( e ) != (c).end() )

#define fst first
#define snd second

#define DUMP( x ) cerr << #x << " = " << ( x ) << endl
#define DEBUG( x ) cerr << __FILE__ << ":" << __LINE__ << ": " << #x << " = " << ( x ) << endl

const double EPS = 1e-9;

struct Point
{
	double x, y;

	Point() : x( 0 ), y( 0 ) {}
	Point( const double x, const double y ) : x( x ), y( y ) {}
	Point( const Point &a ) : x( a.x ), y( a.y ) {}
	
	const Point operator + ( const Point &a ) const
	{
		return Point( x + a.x, y + a.y );
	}

	Point& operator += ( const Point &a ) 
	{
		x += a.x;
		y += a.y;

		return *this;
	}

	const Point operator - ( const Point &a ) const
	{
		return Point( x + ( -a.x ), y + ( -a.y ) );
	}

	Point& operator -= ( const Point &a )
	{
		x -= a.x;
		y -= a.y;

		return *this;
	}

	const Point operator * ( const double a ) const
	{
		return Point( x * a, y * a );
	}

	Point& operator *= ( const double a )
	{
		x *= a;
		y *= a;

		return *this;
	}

	const Point operator / ( const double a ) const
	{
		return Point( x / a, y / a );
	}

	Point& operator /= ( const double a )
	{
		x /= a;
		y /= a;

		return *this;
	}

	bool operator < ( const Point &a ) const
	{
		return x == a.x ? y < a.y : x < a.x;
	}

	double abs() const
	{
		return sqrt( pow( x, 2. ) + pow( y, 2. ) );
	}

	const Point unitVector() const
	{
		return *this / abs();
	}

	const Point normalVector1() const
	{
		return Point( y, -x );
	}

	const Point normalVector2() const
	{
		return Point( -y, x );
	}
};

// 二点間の距離
double distance( const Point &a, const Point &b )
{
	return ( a - b ).abs();
}

// 外積（クロス積）
double cross( const Point &a, const Point &b )
{
	return a.x * b.y - a.y * b.x;
}


// 直線 ( p1, p2 ) と直線 ( q1, q2 ) の交点
Point lines_intersection( const Point &p1, const Point &p2, const Point &q1, const Point &q2 )
{
	return p1 + ( p2 - p1 ) * ( cross( q2 - q1, q1 - p1 ) / cross( q2 - q1, p2 - p1 ) );
}

int main()
{
	cin.tie( 0 );
	ios::sync_with_stdio( false );

	cout << setprecision( 3 ) << fixed;

	int n;
	cin >> n;

	REP( casenum, 0, n )
	{
		double x1, y1, x2, y2, x3, y3;
		cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;

		Point A( x1, y1 ), B( x2, y2 ), C( x3, y3 );
		double a = distance( B, C ), b = distance( C, A ), c = distance( A, B );

		Point midAB = ( A + B ) / 2;
		Point midAC = ( A + C ) / 2;
		
		Point p = lines_intersection( midAB, midAB + ( B - A ).normalVector1(), midAC, midAC + ( C - A ).normalVector1() );

		double cosA = ( pow( b, 2. ) + pow( c, 2. ) - pow( a, 2. ) ) / ( 2 * b * c );
		double sinA = sin( acos( cosA ) );
		double r = abs( a ) / abs( sinA ) / 2;

		cout << p.x << ' ' << p.y << ' ' << r << endl;
	}

	return 0;
}