Triangle Sides BEFORE

__author__ = 'Neys'
# Should return triangle type:
#  0 : if triangle cannot be made with given sides
#  1 : acute triangle
#  2 : right triangle
#  3 : obtuse triangle
from math import acos,pi

def triangle_type(a, b, c):
    if (a+b > c) and (b+c > a) and (c+a > b):
        def angle_a(a,b,c):
            x = ( (a**2)-(b**2)-(c**2) )
            y = -2*(b*c)
            z = x/y
            #print(acos(z))
            return round( acos(z) *180/pi )

        def angle_b(a,b,c):
            x = ( (b**2)-(a**2)-(c**2) )
            y = -2*(a*c)
            return round( (acos(x/y)*180)/pi )

        def angle_c(a,b,c):
            x = ( (c**2)-(a**2)-(b**2) )
            y = -2*(b*a)
            z = x/y
            return round( (acos(x/y)*180)/pi )

        anglea, angleb, anglec = angle_a(a,b,c), angle_b(a,b,c), angle_c(a,b,c)

        if anglea==90 or angleb==90 or anglec==90:
            print(str(angle_a(a,b,c)) + ' ' + str(angle_b(a,b,c)) + ' ' + str(angle_c(a,b,c)))
            print(2)
            return (2)
        elif anglea<90 and angleb<90 and anglec<90:
            print(str(angle_a(a,b,c)) + ' ' + str(angle_b(a,b,c)) + ' ' + str(angle_c(a,b,c)))
            print(1)
            return (1)
        elif anglea>90 or angleb>90 or anglec>90:
            print(str(angle_a(a,b,c)) + ' ' + str(angle_b(a,b,c)) + ' ' + str(angle_c(a,b,c)))
            print(3)
            return (3)
    else:
        return (0)

triangle_type(7,3,2) # Not triangle
triangle_type(2,4,6) # Not triangle
triangle_type(8,5,7) # Acute
triangle_type(3,4,5) # Right
triangle_type(7,12,8) # Obtuse