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;

public class Main {

	public static void main(String[] args) throws IOException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		String str = br.readLine();
		String[] strs = str.split(" ");
		int a = Integer.parseInt(strs[0]);
		int b = Integer.parseInt(strs[1]);
		double C = 2 * Math.PI * (Integer.parseInt(strs[2])) / 360;

		double S, L, h;
		S = a * b * Math.sin(C) / 2;
		L = a + b + Math.sqrt(a * a + b * b - 2 * a * b * Math.cos(C));
		h = 2 * S / a;

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