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(float,input().split())
S=b*math.sin(math.radians(c))*a*1/2
x=math.sqrt(a**2 + b**2 -2*a*b*math.cos(math.radians(c)))
L=a+b+x
h=b*math.sin(math.radians(c))
print(format(S, '.8f'))
print(format(L, '.8f'))
print(format(h, '.8f'))