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;
using System.Text.RegularExpressions;

namespace AOJ_Practice
{
    class Program
    {
        static void Main(string[] args)
        {
            var oneLine = Console.ReadLine().Split(' ').Select(double.Parse).ToList();

            var h = Math.Sin(oneLine[2] * Math.PI / 180.0) * oneLine[1];

            var powA = oneLine[0] * oneLine[0];
            var powB = oneLine[1] * oneLine[1];

            var twoABcosC = 2 * oneLine[0] * oneLine[1] * Math.Cos(oneLine[2] * Math.PI / 180.0);

            var powC = powA + powB - twoABcosC;
            var c = Math.Sqrt(powC);
            var area = oneLine[0] * h / 2.0;
            var aroundLength = oneLine[0] + oneLine[1] + c;

            Console.WriteLine(area.ToString("F5"));
            Console.WriteLine(aroundLength.ToString("F5"));
            Console.WriteLine(h.ToString("F5"));
        }
    }
}