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: Wrong Answer)

import java.util.Scanner;

class Main {
    public static void main(String args[]) {
        Scanner scan = new Scanner(System.in);
        StringBuilder sb = new StringBuilder();
        String[] str = scan.nextLine().split(" ");
        double a = Double.parseDouble(str[0]);
        double b = Double.parseDouble(str[1]);
        double c = Double.parseDouble(str[2]);

        double r = c * Math.PI / 180;
        double S = (a * b) / 2;
        double L = a + b + Math.sqrt(a * a + b * b - 2 * a * b * Math.cos(r));
        double h = S * 2 /a;

        System.out.println(String.format("%.7f",S));
        System.out.println(String.format("%.7f",L));
        System.out.println(String.format("%.7f",h));

    }
}