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.split.map &:to_i
rad = ( c * Math::PI/ 180.0 ) # 度->ラジアン変換
p Math.sin(rad)*a*b*0.5
p a+b+Math.sqrt((a**2+b**2)-2*a*b*Math.cos(rad))
p b*Math.sin(rad)