# include <iostream.h>
# include <stdio.h>
# include <cmath>
int main ()
{
    double A[2];
    double B[2];
    double C[2];
    double S,p,ab,ac,bc,hab,out[3];
    double L;
    cin>>A[0]>>A[1]>>B[0]>>B[1]>>C[0]>>C[1]>>L;
    ab=sqrt(pow((A[0]-B[0]),2)+pow((A[1]-B[1]),2));
    ac=sqrt(pow((A[0]-C[0]),2)+pow((A[1]-C[1]),2));
    bc=sqrt(pow((B[0]-C[0]),2)+pow((B[1]-C[1]),2));
    if (pow(ab,2)+pow(ac,2)>=pow(bc,2) && pow(ab,2)+pow(bc,2)>=pow(ac,2))
    {
        p=(ac+bc+ab)/2;
        S=sqrt(p*(p-ab)*(p-ac)*(p-bc));
        hab=(2*S)/ab;
        out[0]=hab-L;
    }
    else if (pow(ab,2)+pow(ac,2)<pow(bc,2) || pow(ab,2)+pow(bc,2)<pow(ac,2))
    {
        if (ac>bc)
            out[0]=bc-L;
        else
            out[0]=ac-L;
    }
    if (ac>bc)
        out[1]=ac-L;
    else
        out[1]=bc-L;
    for (int i=0;i<2;i++)
    {
        if(out[i]<0)
            out[i]=0.0;
    }
    printf("%.2f",out[0]);
    cout<<endl;
    printf("%.2f",out[1]);
    return 0;
}

Usually test #1 is the sample test in the problem
description.
Try to change your output format to

cout.setf(ios::fixed);
cout.precision(2);
cout<<out[0]<<endl<<out[1]<<endl;

Just add newline after output