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)

  var input = require( 'fs' ).readFileSync( '/dev/stdin' ).toString();
  var data = input.split( " " ).map( Number );
  var a = data[0];
  var b = data[1];
  var C = data[2]*(Math.PI/180);
  var h = Math.sin( C )*b;
  var S = (a*h)/2;
  var ta = (a-Math.cos( C )*b);
  var L = a+b+Math.sqrt( ta*ta+h*h );
  console.log( S+'\n'+L+'\n'+h );