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, theta = gets.chomp.split.map(&:to_f)
rad = theta / 180 * Math::PI
h = b * Math.sin(rad)
S = a * h / 2
c = Math.sqrt(a ** 2 + b **2 -  2 * a * b * Math.cos(rad))
L = a + b + c
printf("%.5f\n", S)
printf("%.5f\n", L)
printf("%.5f\n", h)