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.Collections.Generic;
using System.Linq;
using System.Text.RegularExpressions;

namespace AizuOnlineJudge
{
    class Program
    {
        static void Main(string[] args)
        {
            var arr = Console.ReadLine().Split(' ').Select(double.Parse).ToArray();
            double a = arr[0], b = arr[1], perc = arr[2];
            double rad = perc * Math.PI / 180;

            Console.WriteLine($"{0.5 * a * b * Math.Sin(rad):0.000000000}");
            Console.WriteLine($"{a + b + Math.Sqrt(a * a + b * b - 2 * a * b * Math.Cos(rad)):0.000000000}");
            Console.WriteLine($"{b * Math.Sin(rad):0.000000000}");
        }
    }
}