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)));
$h = $b * sin(deg2rad($C));
$S = $a * $h / 2;
$CC = pow($a,2) + pow($b,2) - 2 * $a * $b * cos(deg2rad($C));
$L = $a + $b + sqrt($CC);
echo sprintf("%.5f\n",$S);
echo sprintf("%.5f\n",$L);
echo sprintf("%.5f\n",$h);