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;

class Program
{
    static void Main()
    {
        string[] str = Console.ReadLine().Split(' ');

        double a = double.Parse(str[0]);
        double b = double.Parse(str[1]);
        double d = double.Parse(str[2]);

        double S = (a * (b * Math.Sin(rad(d)))) / 2;
        double L = a + b + ( Math.Sqrt((a * a) + (b * b) - (2 * a * b * Math.Cos(rad(d)))));
        double H = b * (Math.Sin(rad(d)));

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


    }

    static double rad(double x)
    {
        return (x * (Math.PI / 180));
    }
}