Problem:
Triangle

For given two sides of a triangle a and b and the angle C between them, calculate the following properties:

S: Area of the triangle

L: The length of the circumference of the triangle

h: The height of the triangle with side a as a bottom edge

Input

The length of a, the length of b and the angle C are given in integers.

Output

Print S, L and h in a line respectively. The output should not contain an absolute error greater than 10-4.

Sample Input

4 3 90

Sample Output

6.00000000
12.00000000
3.00000000

Solution in C# (judge verdict: Wrong Answer)

using System;
using System.Linq;

namespace At
{
    class Program
    {
        static void Main(string[] args)
        {
            string[] str = Console.ReadLine().Split();
            double a = double.Parse(str[0]);
            double b = double.Parse(str[1]);
            double rad = double.Parse(str[2])/180*Math.PI;
            double S = a * b * Math.Sin(rad) / 2;
            double L = Math.Sqrt(a * a + b * b - 2 * a * b * Math.Cos(rad));
            double h = S * 2 / a;
            Console.WriteLine(S);
            Console.WriteLine(L);
            Console.WriteLine(h);
        }
    }
}