#include<stdio.h>
#include<math.h>
#include<algorithm>
using namespace std;
long test,t;
int main()
{
double AB,AC,BC,cosA,cosB,cosC,x1,x2,x3,y1,y2,y3,a[3],pi;
pi=2*acos(0.0);
scanf("%ld",&test);
for (t=1;t<=test;t++)
{
scanf("%lf%lf%lf%lf%lf%lf",&x1,&y1,&x2,&y2,&x3,&y3);
AB=sqrt((x1-x2)*(x1-x2)+(y1-y2)*(y1-y2));
BC=sqrt((x3-x2)*(x3-x2)+(y3-y2)*(y3-y2));
AC=sqrt((x1-x3)*(x1-x3)+(y1-y3)*(y1-y3));
a[0]=AB;
a[1]=BC;
a[2]=AC;
sort(a,a+3);
if ( a[2]<a[1]+a[0])
{
cosA=acos((AB*AB+AC*AC-BC*BC)/(2*AB*AC));
cosA=(180*cosA)/pi;
cosB=acos((AB*AB-AC*AC+BC*BC)/(2*AB*BC));
cosB=(180*cosB)/pi;
cosC=acos((-AB*AB+AC*AC+BC*BC)/(2*BC*AC));
cosC=(180*cosC)/pi;
// printf("%lf %lf %lf\n\n",cosA,cosB,cosC);
if ( AB==AC || AB==BC || AC==BC )
{
if ( fabs(cosA-90)<1e-6 || fabs(cosB-90)<1e-6 || fabs(cosC-90)<1e-6 )
printf("Case #%ld: isosceles right triangle\n",t);
else if ( cosA>90 || cosB>90 || cosC>90 )
printf("Case #%ld: isosceles obtuse triangle\n",t);
else if ( cosA<90 && cosB<90 && cosC<90 )
printf("Case #%ld: isosceles acute triangle\n",t);
}
else
{
if ( fabs(cosA-90)<1e-6 || fabs(cosB-90)<1e-6 || fabs(cosC-90)<1e-6 )
printf("Case #%ld: scalene right triangle\n",t);
else if ( cosA>90 || cosB>90 || cosC>90 )
printf("Case #%ld: scalene obtuse triangle\n",t);
else if ( cosA<90 && cosB<90 && cosC<90 )
printf("Case #%ld: isosceles acute triangle\n",t);
}
}
else
printf ("Case #%ld: not a triangle\n",t);
}
return 0;
}