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)

input = STDIN.gets.split(' ')
a = input[0].to_f
b = input[1].to_f
c = input[2].to_f * (Math::PI / 180.0)

s = 0.5 * a * b * Math.sin(c)
l = a + b + Math.sqrt(a*a + b*b - 2 * a * b * Math.cos(c))
h = b * Math.sin(c)

puts s
puts l
puts h