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)

#http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ITP1_10_B

a,b,c = gets.split.map(&:to_f)
rad = c * Math::PI / 180
h = b * Math.sin(rad)
s = a * h / 2 
l = a + b + Math.sqrt(a**2 + b**2 - (2 * a * b * Math.cos(rad)) )

puts s
puts l
puts h