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;

namespace TP1_10_B
{
    class Program
    {
        static void Main(string[] args)
        {
            string[] str = Console.ReadLine().Split(' ');
            double a = double.Parse(str[0]);
            double b = double.Parse(str[1]);
            double c = double.Parse(str[2]);

            double h = b * Math.Sin(c * Math.PI / 180 );
            double l = a + b + Math.Sqrt((Math.Pow(a, 2) + (Math.Pow(b, 2) - 2 * a * b * Math.Cos(c * Math.PI / 180))));
            double area = a * h / 2;

            Console.WriteLine("{0:F8}", area);
            Console.WriteLine("{0:F8}", l);
            Console.WriteLine("{0:F8}", h);
        }
    }
}