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
fscanf(STDIN, "%f %f %f", $a, $b, $C);

$h  = $b * sin(deg2rad($C));
$da = $a - ($b * cos(deg2rad($C)));

$c = sqrt(pow($da, 2) + pow($h, 2));

$S = $a * $h / 2.0;
$L = $a + $b + $c;

echo "$S $L $h\n";