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 PHP (judge verdict: Accepted)

<?php
list($a, $b, $c) = explode(" ", trim(fgets(STDIN)));
$c *= pi() / 180;

$s = 0.5 * $a * $b * sin($c);
$l = $a + $b + sqrt(pow($a, 2) + pow($b, 2) - 2 * $a * $b * cos($c));
$h = $b * sin($c);

echo sprintf("%.10f\n%.10f\n%.10f\n", $s, $l, $h);