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)

#!/usr/bin/env ruby

include Math

if __FILE__ == $0 then
	a, b, C = gets.split.map(&:to_f)
	S = a * b * sin(C*PI/180) / 2
	L = a + b + sqrt(a**2 + b**2 - 2*a*b*cos(C*PI/180))
	h = b * sin(C*PI/180)

	p S, L, h
end