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())

h = b * math.sin(math.radians(C))
S = a * h * 0.5
L = (a ** 2 + b ** 2 - 2 * a * b * math.cos(math.radians(C))) ** 0.5 + a + b

for i in [S, L, h]: print('%10f' % i)