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.split.map &:to_f
c=c*Math::PI/180
h=b*Math.sin(c)
l=a+b+Math.hypot(a-b*Math.cos(c),h)
puts "#{a*h/2} #{l} #{h}"