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, $r) = explode(" ", trim(fgets(STDIN)));
  $s = 0.5 * ($a * $b) * (sin($r * (M_PI / 180)));
  $l = $a + $b + sqrt(pow($a, 2) + pow($b, 2) - (2 * $a * $b * cos($r * (M_PI / 180))));
  $h = $b * sin($r * (M_PI / 180));
  print($s . "\n" . $l . "\n" . $h);
?>