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)

a,b,c = map(int, input().split())

import math

# rad = a / 180 * math.pi

s = 0.5*a*b*math.sin(math.radians(c))

ab = math.sqrt(a**2+b**2-2*a*b*math.cos(math.radians(c)))

h = 2*s/a

print("{:.12f}".format(s))
print("{:.12f}".format(ab+a+b))
print("{:.12f}".format(h))