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, deg = gets.split.map(&:to_f)
rad = deg * Math::PI / 180

h = Math.sin(rad) * b
s = a * h / 2
t = h / Math.tan(rad)
c = Math.sqrt((a - t) ** 2 + h ** 2)

puts sprintf("%.6f", s)
puts sprintf("%.6f", a + b + c)
puts sprintf("%.6f", h)