#include<iostream>
#include<cmath>
#include<iomanip>
#include<string>
#include<stdio.h>
#define PI 3.141592653589793238
struct TamGiac{
    double AB;
    double BC;
    double AC;
};
double DoDaiCanh(double a, double b, double c, double d){
    double x = sqrt(pow(c-a,2)+pow(d-b,2));
    return x;
}
int TamGiac(double a, double b, double c){
    if((a+b)<c||(b+c)<a||(a+c)<b){
        return 0;
    }
    return 1;
}
using namespace std;

int main() {
    int t;
    cin >> t;
    while(t--){
        struct TamGiac tg;
        double xa, ya, xb, yb, xc, yc;
        cin >> xa >> ya >> xb >> yb >> xc >> yc;
        tg.AB = DoDaiCanh(xa, ya, xb, yc);
        tg.AC = DoDaiCanh(xa, ya, xc, yc);
        tg.BC = DoDaiCanh(xb, yb, xc, yc);
        if(TamGiac(tg.AB, tg.AC, tg.BC)==1){
            double DienTich = (1/4)*sqrt((tg.BC+tg.AC+tg.AB)*(tg.BC+tg.AC-tg.AB)*(tg.AC+tg.AB-tg.BC)*(tg.AB+tg.BC-tg.AC));
            double Ketqua = (tg.BC*tg.AC*tg.AB)/(4*DienTich);
            cout << fixed << setprecision(3) << tg.AB << " " << tg.AC << " " << tg.BC << endl;
        }else{
            cout << "INVALID" << endl;
    }
    }
}