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 = map(int,input().split())
c = math.radians(c)
s = (1 / 2) * a * b * math.sin(c)
l = a + b + math.sqrt((a**2) + (b**2) - (2 * a * b * math.cos(c)))
h = b * math.sin(c)
print("{0:.8f}".format(s))
print("{0:.8f}".format(l))
print("{0:.8f}".format(h))