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[] args) {
        string[] v = Console.ReadLine().Split(' ');

        double a = double.Parse(v[0]);
        double b = double.Parse(v[1]);
        double C = double.Parse(v[2]);
        double r = 2 * Math.PI * C / 360;

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

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