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_i)
S = 0.5 * a * b * Math.sin(Math::PI * C / 180.0)
L = a + b + (a**2 + b**2 - 2*a*b*Math.cos(Math::PI * C / 180.0))**0.5
h = Math.sin(Math::PI * C / 180.0) * b 
puts "#{format("%0.5f", S)} #{format("%0.5f", L)} #{format("%0.5f", h)}"