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(x) for x in input().split())

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

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

h=b*(math.sin(c))

print('{:.08f}'.format(s))
print('{:.08f}'.format(l))
print('{:.08f}'.format(h))