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)));
$c=$C*pi()/180;
$h=$b*sin($c);
 
echo $a*$h/2
,PHP_EOL
,$a+$b+sqrt(pow($a-$b*cos($c),2)+pow($h,2))
,PHP_EOL
,$h
;