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, degC = gets.split( " " ).map { |val| val.to_f }
radC = degC*Math::PI/ 180.0
h = Math.sin( radC ) * b
S = (a*h)/2
x = Math.cos( radC ) * b
x -= a
c = Math.sqrt(  x**2 + h**2  ) 
L = a + b + c

puts( S )
puts( L )
puts( h )