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())

S = 1/2 * a * b * math.fabs(math.sin(C / 360 * 2 * math.pi))
c = math.sqrt( a **2 + b **2 - 2*a*b*math.cos(C/360 * 2 * math.pi))
L = a + b + c
h = 2* S / a

print('{0:.7f}'.format(S))
print('{0:.7f}'.format(L))
print('{0:.7f}'.format(h))