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.Collections.Generic;
using System.Linq;
using System.Text;

namespace ConsoleApplication20
{
    class Program
    {
        static void Main(string[] args)
        {
            string[] str = Console.ReadLine().Split(' ');
            double a = double.Parse(str[0]);
            double b = double.Parse(str[1]);
            int C = int.Parse(str[2]);

            double h;
            double S;
            double L;

            //??¢???
            S = a * b * Math.Sin(C * Math.PI / 180) / 2;

            //??????
            h = S * 2 / a;

            //????§???¢?????¨????±???????
            double bx = Math.Sqrt((b * b) - (h * h));
            double c = Math.Sqrt((a - bx) * (a - bx) + (h * h));
            L = c + a + b;

            Console.WriteLine(S);
            Console.WriteLine(L);
            Console.WriteLine(h);
        }
    }
}