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
line = input().split()
a = int(line[0])
b = int(line[1])
c = int(line[2])
degree = c
rad = math.radians(degree)
s = a * b * math.sin(rad) / 2
l = a + b + math.sqrt(pow(a,2) + pow(b,2) - 2 * a * b * math.cos(rad))
h = b * math.sin(rad)
print("{0:.8f}".format(s))
print("{0:.8f}".format(l))
print("{0:.8f}".format(h))