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)

i=gets.split(' ').map(&:to_f)
a=i[0]
b=i[1]
C=i[2]
pi=Math.atan2(1,1)*4
h=b*Math.sin(C*pi/180)
S=a*h/2
c2=a*a+b*b-2*a*b*Math.cos(C*pi/180)
L=a+b+Math.sqrt(c2)
printf("%f\n",S)
printf("%f\n",L)
printf("%f\n",h)