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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		
		try {
			String[] input = br.readLine().split(" ");
			int a = Integer.parseInt(input[0]);
			int b = Integer.parseInt(input[1]);
			int c = Integer.parseInt(input[2]);
			
			double S = a * b * Math.sin(Math.toRadians(c)) / 2;
			double L = a + b + Math.sqrt(a*a + b*b -2*a*b*Math.cos(Math.toRadians(c)));
			double h = 2 * S / a;
			
			System.out.println(S);
			System.out.println(L);
			System.out.println(h);
		} catch (IOException e) {
			// TODO 自動生成された catch ブロック
			e.printStackTrace();
		}
		
	}
}