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)



pi = 3.14159265358979
a,b,c = gets.split.map(&:to_f)
r = pi*c/180.0

t = Math.sqrt(a*a+b*b-2*a*b*Math.cos(r))

puts a*b*Math.sin(r)/2.0.round(6)
puts (a+b+t).round(6)
puts b*Math.sin(r).round(6)