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 Ruby (judge verdict: Accepted)

a, b, c = gets.chomp.split().map(&:to_f)
rad = ( c * Math::PI/ 180.0 )
h = b * Math::sin( rad )
puts a * h / 2.0
puts a + b + Math::sqrt( a**2 + b**2 - 2 * a * b * Math::cos( rad ) )
puts h