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: Accepted)

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

namespace ITP1_10
{
    class Program
    {
        static void Main(string[] args)
        {
            string[] str_List = Console.ReadLine().Split(' ');
            double a = double.Parse(str_List[0]);     // ????????????1
            double b = double.Parse(str_List[1]);     // ????????????2
            double c = double.Parse(str_List[2]);     // ?§????

            // ?§???????????????¢????????????
            var sin = Math.Sin(c * (Math.PI / 180));
            var cos = Math.Cos(c * (Math.PI / 180));

            var S = (a * b * (double)sin) / 2;
            var L = a + b +  Math.Sqrt(Math.Pow(a, 2) + Math.Pow(b, 2) - (2 * a * b * cos) );
            var H = b * sin;

            Console.WriteLine(S);
            Console.WriteLine(L);
            Console.WriteLine(H);


            Console.ReadLine();

        }
    }
}