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 = STDIN.gets.chomp.split(" ")
a, b, c = [a.to_f, b.to_f, c.to_i]

c = Math::PI * c / 180
d2 = (a * a) + (b * b) - 2 * a * b * Math.cos(c)
d = Math.sqrt(d2)

h = b * Math.sin(c)
l = a + b + d
s = a * h / 2

p s
p l
p h