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.*;
import java.io.*;

class Main {
    public static void main(String[] args){
        Scanner scan = new Scanner(System.in);
    
            int a = scan.nextInt();
            int b = scan.nextInt();
            int C = scan.nextInt();
            
            double x = Math.sin(Math.toRadians(C));
            double y = Math.cos(Math.toRadians(C));
            double E = Math.sqrt(a*a + b*b - 2*a*b*y);
            double S = 0.5*a*b*x;
            double L = a + b + E;
            double h = S*2/a;

            System.out.println(S);
            System.out.println(L);
            System.out.println(h);
        
    }
}