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: Wrong Answer)

input = STDIN.gets.split(' ')
a = input[0].to_f
b = input[1].to_f
c = input[2].to_f * (Math::PI / 180)

s = ((a * b * Math.sin(c)) / 2).to_f
l = (a + b + Math.sqrt(a*a + b*b - Math.cos(c))).to_f
h = (b * Math.sin(c)).to_f

puts s
puts l
puts h