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)

include Math
a, b, c = gets.split(" ").map(&:to_f)
puts (0.5*a*b*sin(c*PI/180)).round(8)
puts (sqrt(a**2+b**2-2*a*b*cos(c*PI/180)) + a + b).round(8)
puts (b*sin(c*PI/180)).round(8)