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, angle = map(int, input().split())
angle = math.radians(angle)

S = (a * b * math.sin(angle)) / 2
L = a + b + math.sqrt(a ** 2 + b ** 2 - 2 * a * b * math.cos(angle))
h = b * math.sin(angle)

print("%f %f %f" % (S, L, h))