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);

echo 1/2 * $a * $b * sin(deg2rad($c)),PHP_EOL;
// echo sin(deg2rad(90));
echo $a + $b + sqrt($a**2 + $b**2 - 2 * $a * $b * cos(deg2rad($c))),PHP_EOL;

echo $b * sin(deg2rad($c));