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: Wrong Answer)

using System;
class ITP1_10_B
{
    static void Main()
    {
        string[] input = Console.ReadLine().Split(' ');
        int a = int.Parse(input[0]);
        int b = int.Parse(input[1]);
        double rad = int.Parse(input[2]) * Math.PI / 180;
        double S=a * b * Math.Sin(rad) / 2;
        Console.WriteLine(S);
        Console.WriteLine(a + b + Math.Sqrt(a * a + b * b - a * b * Math.Cos(rad)));
        Console.WriteLine(S / a * 2);
    }
}