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)

include Math
def f(a, b, c)
  return (0.5 * a * b * sin(g(c))), (a ** 2 + b ** 2 - 2 * a * b * cos(g(c))) ** 0.5 + a + b, b * sin(g(c))
end
def g(c)
  return c * PI / 180
end
puts f(*gets.split(" ").map(&:to_i))
#f(*gets.split(" ").map(&:to_i)).each{|i|puts sprintf("%.4f", i)}