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, d = gets.split.map(&:to_f)
d = 2 * Math::PI * d / 360
c = Math.sqrt(a * a + b * b - 2 * a * b * Math.cos(d))
puts "%.4f\n%.4f\n%.4f" % [a * b * Math.sin(d) / 2, a + b + c, b * Math.sin(d)]