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

a, b, c = gets.split.map(&:to_i)
θ = c / 180.0 * PI
h = b * sin(θ)
x = sqrt(a ** 2 + b ** 2 - 2 * a * b * cos(θ))

puts a * h / 2
puts a + b + x
puts h