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) {
		// TODO 自動生成されたメソッド・スタブ
		
		Scanner sc = new Scanner(System.in);
		int a=sc.nextInt(),
			b=sc.nextInt(),
			rad=sc.nextInt();
		double s,l,h,c,a2,b2,min,r=0.0;
		
		a2=Math.pow(a, 2.0);
		b2=Math.pow(b, 2.0);
		r=Math.cos(((double)rad/180.0)*Math.PI);
		min=(2.0*a*b)*r;
		
		c = Math.sqrt(a2+b2-min);
		l = a+b+c;
		
		s=a*b;
		s=s*Math.sin((double)rad/180.0*Math.PI);
		s=s/2;
		
		h=(2*s)/a;
		
		System.out.printf("%f\n%f\n%f\n",s,l,h);
	}

}