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;
public class Hello{
    public static void Main(){
        
        string [] str=Console.ReadLine().Split(' ');
        double a=double.Parse(str[0]);
        double b=double.Parse(str[1]);
        double c=double.Parse(str[2]);
        
        Console.WriteLine(0.5*a*b*Math.Sin(c*(Math.PI / 180)));
        Console.WriteLine(a+b+Math.Sqrt(a*a+b*b-2*a*b*Math.Cos(c*(Math.PI / 180))));
        Console.WriteLine(b*Math.Sin(c*(Math.PI / 180)));
    }
}