#include <iostream>
#include <cmath>
using namespace std;

float pythag( float a, float b )  // It is assumed that a and b are nonnegative
{
    const float SQRT2 = 1.41421356f;
    float c;
    
    if ( a == b )
        c = SQRT2 * a;
    else if ( a > b )
        c = a * sqrt( 1.0f + pow( (b/a), 2 ) );
    else
        c = b * sqrt( pow( (a/b), 2 ) + 1.0f );
    
    return( c );
}

int main()
{
    const float MAX_HYPOT = 1000.0;
    float a, b, c;
    
    cout << "Enter a and b separated by a space.\n";
    cin >> a >> b;
    cout << "\n";

    cout.precision(7);
       
    if ( ( a > 0.0 ) && ( b > 0.0 ) ) {
        c = pythag( a, b );
        cout << "The hypotenuse has length " << c << endl;
        if ( c > MAX_HYPOT )
            cout << "Wow! That's one big triangle." << endl;
    }
    else
        cout << "These are not side lengths of a triangle." << endl;
    
    cout << "\n\n"; system( "PAUSE" );
    return( 0 );
}