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)

#!/usr/bin/env ruby

numbers = gets.split.map(&:to_f)
puts numbers[0] * numbers[1] * Math.sin(numbers[2]*(Math::PI/180)) /2.0
puts (numbers[0]**2 + numbers[1]**2 - 2 * numbers[0] * numbers[1] * Math.cos(numbers[2]*(Math::PI/180))) ** 0.5 + numbers[0] + numbers[1]
puts numbers[1] * Math.sin(numbers[2]*(Math::PI/180))