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)

from math import sin
from math import sqrt
from math import cos
from math import pi

a, b, angle = map(float, input().split())

angle = angle/180 * pi


s = a * b * (1/2) * sin(angle)

l = a + b + sqrt(a**2 + b**2 - 2*a*b*cos(angle))

h = b * sin(angle)

print(s, l, h, sep='\n')