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
d=math.radians(c)
S=a*b*math.sin(d)*(1/2)
e=math.cos(d)
x=a**2+b**2-2*a*b*e
L=a+b+math.sqrt(x)
h=2*S/a

print('{:.6f}'.format(S))
print('{:.6f}'.format(L))
print('{:.6f}'.format(h))