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 JavaScript (judge verdict: Accepted)

//config = {stdin: 'tmp', newline: '\r\n'}; // win
config = {stdin: '/dev/stdin', newline: '\n'}; // linux

line = require('fs').readFileSync(config.stdin, 'ascii')
       .split(config.newline)[0].split(' ').map(Number);
(function (a, b, C) {
  console.log('%d\n%d\n%d',
    0.5 * a * b * Math.sin(C),
    a + b + Math.sqrt(a * a + b * b - 2 * a * b * Math.cos(C)),
    b * Math.sin(C)
  );
}) (line[0], line[1], line[2] * 2 * Math.PI / 360);