How to create a Triangle shaped drawing from my variables in Python

Question

I just recently dove in to the world of programming and was given a very basic exercise to complete but I am kind of stuck and do not know what to do next. The problem was : Given 3 numbers determine if they can form a triangle and if yes calculate the Perimeter and Area,draw the Triangle afterwards. I have managed to calculate the perimeter and area of the triangle(is such exists) but have no idea how to make the computer draw a triangle from whatever values were input.

Here is the code:

import math
a = int(input("Enter your first number"))
b = int(input("Enter your second number"))
c = int(input("Enter your third number"))
if a+b>c and a+c>b and b+c>a:
    print("The Triangle's Perimeter is:")
    print(int(a+b+c))
    print("The Area of the triangle is:")
    print(int(math.sqrt((a+b+c)/2)*(((a+b+c)/2)-a)*(((a+b+c)/2)-b)*(((a+b+c)/2)-c)))
else:
    print("The numbers do not form a triangle")
input("Press any key to continue")

Would love if you guys could give me an insight on how to achieve this task

Answer 1

Here's another solution, using Tkinter:

from Tkinter import *

def draw(a, b, c):
    # determine corner points of triangle with sides a, b, c
    A = (0, 0)
    B = (c, 0)
    hc = (2 * (a**2*b**2 + b**2*c**2 + c**2*a**2) - (a**4 + b**4 + c**4))**0.5 / (2.*c)
    dx = (b**2 - hc**2)**0.5
    if abs((c - dx)**2 + hc**2 - a**2) > 0.01: dx = -dx # dx has two solutions
    C = (dx, hc)

    # move away from topleft, scale up a bit, convert to int
    coords = [int((x + 1) * 75) for x in A+B+C]

    # draw using Tkinter
    root = Tk()
    canvas = Canvas(root, width=500, height=300)
    canvas.create_polygon(*coords)
    canvas.pack()
    root.mainloop()

draw(2, 4, 5)

Answer 2

from turtle import color, begin_fill, forward, left, end_fill, done
from math import acos, degrees

def triangle_exists(a, b, c):
    """Return True iff there exists a triangle with sides a, b, c."""
    return a + b > c and b + c > a and c + a > b

def triangle_angle(a, b, c):
    """Return the angle (in degrees) opposite the side of length a in the
    triangle with sides a, b, c."""
    # See http://en.wikipedia.org/wiki/Law_of_cosines
    return degrees(acos((b ** 2 + c ** 2 - a ** 2) / (2.0 * b * c)))

def draw_triangle(a, b, c):
    """Draw a triangle with sides of lengths a, b, and c."""
    assert(triangle_exists(a, b, c))
    color('black', 'yellow')
    begin_fill()
    forward(c)
    left(180 - triangle_angle(b, c, a))
    forward(a)
    left(180 - triangle_angle(c, a, b))
    forward(b)
    end_fill()
    done()

>>> draw_triangle(400, 350, 200)