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

$input = trim(fgets(STDIN));
List($a, $b, $c) = explode(" ", $input);

$c = deg2rad($c);
$S = ($a * $b * sin($c)) / 2;
$L = $a + $b + sqrt($a*$a + $b*$b - 2*$a*$b*cos($c));
$h = $b * sin($c);

printf("%f" . PHP_EOL, $S);
printf("%f" . PHP_EOL, $L);
printf("%f" . PHP_EOL, $h);