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,"%d %d %d", $a, $b, $C);
$C = deg2rad($C);
$S = $a * $b * sin($C) / 2;
$h = 2 * $S / $a;
$line_c = sqrt($a*$a + $b*$b - 2*$a*$b*cos($C));
$L = $a + $b + $line_c;
printf("%f%s%f%s%f%s", $S, PHP_EOL, $L, PHP_EOL, $h, PHP_EOL);