you have to create a class representing a triangle. A triangle is created specifying the lengths of its 3 sides; for instance,

Triangle(3, 4, 5)

creates a triangle with sides 3, 4, 5.

The class has to implement the following methods.

• is_well_formed: Returns True if the triangle is well-formed, and false otherwise. A triangle is well formed if, for edges of length x,y,z, you have:

xy+zy

• perimeter: Returns the perimeter of the triangle.

• area: Returns the area of the triangle, using Heron's formula.

We give you the class skeleton, and you have to complete the methods.

# This may be useful to compute square roots...

import math

class Triangle(object):

def __init__(self, x, y, z):

"""Creates a triangle of sides x, y, z"""

# YOUR CODE HERE

raise NotImplementedError()

def is_well_formed(self):

"""Returns True if the triangle is well-formed, and false otherwise."""

# YOUR CODE HERE

raise NotImplementedError()

def perimeter(self):

"""returns the perimeter of the triangle."""

# YOUR CODE HERE

raise NotImplementedError()

def area(self):

"""Returns the area of the triangle."""

# YOUR CODE HERE

raise NotImplementedError()