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.Linq;

namespace Math_Functions
{
    class Triangle
    {
        static void Main(string[] args)
        {
            var token = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();
            var a = token[0];
            var b = token[1];
            var C = token[2] * Math.PI / 180;
            Console.WriteLine(a * b * Math.Sin(C) / 2);
            Console.WriteLine(a + b + Math.Sqrt(a * a + b * b - 2 * a * b * Math.Cos(C)));
            Console.WriteLine(b * Math.Sin(C));
        }
    }
}