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.IO;
using System.Linq;
using System.Text;

namespace _20170409_AOJ
{
    class Program
    {
        static void Main(string[] args)
        {
            int[] iArr = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();
            int a = iArr[0];
            int b = iArr[1];
            int C = iArr[2];

            double theta = C * Math.PI / 180.0;
            double h = b * Math.Sin(theta);
            double S = a * h / 2.0;
            double L = a + b + Math.Sqrt(Math.Pow(a - b * Math.Cos(theta), 2) + h * h);

            Console.WriteLine("{0} {1} {2}", S, L, h);

            Console.ReadLine();
        }
    }
}