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.Linq;
using System.Collections.Generic;

namespace Algorithm
{
    class Program
    {
        static void Main(string[] args)
        {
            var line = Console.ReadLine().Split().Select(z => int.Parse(z)).ToArray();
            int a = line[0], b = line[1], C = line[2];

            var c = Math.Sqrt(a * a + b * b - (2 * b * a * Math.Cos(C * (Math.PI / 180))));

            var L = a + b + c;
            var s = (a + b + c) / 2;
            var S = Math.Sqrt(s * (s - a) * (s - b) * (s - c));
            var h = 2 * S / a;

            Console.WriteLine($"{S} {L} {h}");
        }
    }
}