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.Text;
using System.Linq;

namespace ConsoleApplication2
{
    class Program
    {
        static void Main(string[] args)
        {
            string[] input = Console.ReadLine().Split(' ');

            double a = double.Parse(input[0]);
            double b = double.Parse(input[1]);
            double c = double.Parse(input[2]);

            double c_rad = c * Math.PI / 180;

            double S = a * b * Math.Sin(c_rad)/2;
            double L = a + b + Math.Sqrt(a * a + b * b - (2 * a * b * Math.Cos(c_rad)));
            double h = b * Math.Sin(c_rad);

            Console.WriteLine("{0:f8}", S);
            Console.WriteLine("{0:f8}", L);
            Console.WriteLine("{0:f8}", h);

        }
    }
}