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)

=begin
算数がわかっていないため下記のサイトで復習
rubyMathの使い方(http://rubytips86.hatenablog.com/entry/2014/03/24/072550)
面積の求め方(https://atarimae.biz/archives/24942)
平方根(https://atarimae.biz/archives/9568)
三角形の周長の求め方(https://oshiete.goo.ne.jp/qa/6663453.html)
=end

include Math
a, b, c = gets.split.map(&:to_f)
S = 0.5 * a * b * sin(c / 180.0 * PI)
L = a + b + sqrt(a**2 + b**2 - 2 * a * b * cos(c / 180.0 * PI))
h = b * sin(c / 180.0 * PI)

puts sprintf("%.4f", S)
puts sprintf("%.4f", L)
puts sprintf("%.4f", h)