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;

class Program {
    private static int Main() {
        var input = Console.ReadLine();
        var values = input.Split( ' ' );

        var a = int.Parse( values[ 0 ] );
        var b = int.Parse( values[ 1 ] );
        var C = int.Parse( values[ 2 ] );

        var rad = C * Math.PI / 180;
        var S = a * b * Math.Sin( rad ) / 2;
        var L = Math.Sqrt( Math.Pow( a, 2 ) + Math.Pow( b, 2 ) - 2 * a * b * Math.Cos( rad ) );
        var h = b * Math.Sin( rad );

        Console.WriteLine( S );
        Console.WriteLine( a + b + L );
        Console.WriteLine( h );

        return 0;
    }
}