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 JavaScript (judge verdict: Accepted)

"use strict";
main(require("fs").readFileSync("/dev/stdin", "utf8").replace(/\r?\n$/, "").split(/\r?\n/));

function main(lines){
	var ary = lines[0].split(" ").map(Number);
	var a = ary[0], b = ary[1], C = ary[2] / 180 * Math.PI;
	console.log(a * b * Math.sin(C) / 2);
	console.log(a + b + Math.sqrt(a*a + b*b - 2*a*b*Math.cos(C)));
	console.log(b * Math.sin(C));
}