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.Threading.Tasks;

namespace _1_10_b
{
    class Program
    {
        static void Main(string[] args)
        {
            string[] s = Console.ReadLine().Split(' ');
            double a = double.Parse(s[0]);  //a辺
            double b = double.Parse(s[1]);  //b辺
            double c = double.Parse(s[2]);  //角度c
            double sin = Math.Sin(c * Math.PI / 180);
            double cos = Math.Cos(c * Math.PI / 180);
            double[] answer = new double[3];

            answer[1] = b * (sin);//高さ
            answer[2] = (a * b * sin) / 2;//面積
            answer[0] = a + b + Math.Sqrt(a * a + b * b - 2 * a * b * cos);//周囲

            Console.WriteLine(answer[2]);
            Console.WriteLine(answer[0]);
            Console.WriteLine(answer[1]);
        }
    }
}