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)

s = (a * b * Math.sin(c * Math::PI / 180)) * 0.5
l = (a + b) + (a*a + b*b - 2*a*b*Math.cos(c * Math::PI / 180)) ** 0.5
h = b * Math.sin(c * Math::PI / 180)

puts s
puts l
puts h