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 Python (judge verdict: Accepted)

import math
a,b,c = map(float,raw_input().split())
print "%.8f" %float(a*b*math.sin(math.radians(c))/2)
print "%.8f" %float(a+b+math.sqrt(a**2+b**2-2*a*b*math.cos(math.radians(c))))
print "%.8f" %float(b*math.sin(math.radians(c)))