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)

#10_B
import math
a,b,C=map(int,input().split())
S=a*b*math.sin((C*2*math.pi)/360)/2
c=math.sqrt(a**2+b**2-2*a*b*math.cos((C*2*math.pi)/360))
L=a+b+c
h=2*float(S)/a
print(str(S)+'\n'+str(L)+'\n'+str(h)+'\n')