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 Python3 (judge verdict: Accepted)

import math

a, b, c = [int(arg) for arg in input().split()]
s = a * b * math.sin(math.pi * c / 180) / 2
l = a + b + math.sqrt(a**2 + b**2 - 2 * a * b * math.cos(math.pi * c / 180))
h = 2 * s / a
print(s)
print(l)
print(h)