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 JAVA (judge verdict: Accepted)

import java.util.Scanner;
public class Main {
 
    public static void main(String[] args) {
        Scanner stdIn = new Scanner(System.in);
        int a = stdIn.nextInt();
        int b = stdIn.nextInt();
        int C = stdIn.nextInt();
         
        double Cc = C * Math.PI /180;
         
        double L = Math.sqrt(a * a + b * b - 2 * a * b * Math.cos(Cc));
        double h = b * Math.sin(Cc);
        double S = b * Math.sin(Cc) * a /2;
         
        System.out.println(S);
        System.out.println(L + a + b);
        System.out.println(h);
    }
}