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_f)
puts 1.0/2.0 * a * b * Math::sin(c/180*Math::PI)
puts a + b + Math::sqrt(a**2 + b**2 - 2.0*a*b*Math::cos(c/180*Math::PI))
puts b * Math::sin(c/180*Math::PI)