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;

class Main{
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
		double a = sc.nextDouble();
		double b = sc.nextDouble();
		double c = sc.nextDouble();
		System.out.println(a*b*Math.sin(c*Math.PI/180.0)/2);
		System.out.println(a+b+Math.sqrt(Math.pow(a,2)+Math.pow(b,2)-2*a*b*Math.cos(c*Math.PI/180.0)));
		System.out.println(b*Math.sin(c*Math.PI/180.0));
    }
}