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)

#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
#一つづつの計算を出すプログラム

a,b,c=gets.split.map(&:to_f)

puts a*b*Math.sin(c/180*3.14159265358979)/2                              #Area of the triangle
puts a+b+Math.sqrt(a**2+b**2-2*a*b*Math.cos(c/180*3.14159265358979))     #The length of the circumference of the triangle
puts b*Math.sin(c/180*3.14159265358979)                                  #The height of the triangle with side a as a bottom edge