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: Wrong Answer)

# coding: utf-8
#lines = <<'EOS'
#4 3 90
#EOS

lines = $stdin.read

array = lines.split("\n")

str = array[0]

# a ?????????, b ?????????, C?????§???????????????
a = str.split(" ")[0].to_i
b = str.split(" ")[1].to_i
C = str.split(" ")[2].to_i

# ????§???¢?????¢??? S => a*b*sin(C) / 2
printf "%f\n", a * b * Math.sin(C * Math::PI / 180) / 2
S = a * b * Math.sin(C * Math::PI / 180) / 2
# ??¨????????? L
printf "%f\n", a+b+Math.sqrt(a**2+b**2)
# a ???????????¨????????¨???????????? h
printf "%f\n", 2 * S / a