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Python: Find the coordinates of a triangle with the given side lengths

Python Programming Puzzles: Exercise-31 with Solution

Write a Python program to find the coordinates of a triangle with the given side lengths.

Input:
[3, 4, 5]
Output:
[[0.0, 0.0], [3, 0.0], [3.0, 4.0]]

Input: 
[5, 6, 7]
Output:
[[0.0, 0.0], [5, 0.0], [3.8, 5.878775382679628]]

Pictorial Presentation:

Python: Find the coordinates of a triangle with the given side lengths.
Python: Find the coordinates of a triangle with the given side lengths.

Sample Solution:

Python Code:

#License: https://bit.ly/3oLErEI

def test(sides):
   a, b, c = sorted(sides)
   s = sum(sides) / 2 # semi-perimeter
   area = (s * (s - a) * (s - b) * (s - c)) ** 0.5 # Heron's formula
   y = 2 * area / a # height
   x = (c ** 2 - y ** 2) ** 0.5
   return [[0.0, 0.0], [a, 0.0], [x, y]]
sides = [3, 4, 5]
print("Sides of the triangle:",sides)
print("Coordinates of a triangle with the said side lengths:")
print(test(sides))
sides = [5, 6, 7]
print("\nSides of the triangle:",sides)
print("Coordinates of a triangle with the said side lengths:")
print(test(sides))

Sample Output:

Sides of the triangle: [3, 4, 5]
Coordinates of a triangle with the said side lengths:
[[0.0, 0.0], [3, 0.0], [3.0, 4.0]]

Sides of the triangle: [5, 6, 7]
Coordinates of a triangle with the said side lengths:
[[0.0, 0.0], [5, 0.0], [3.8, 5.878775382679628]]

Flowchart:

Flowchart: Python - Find the coordinates of a triangle with the given side lengths.

Visualize Python code execution:

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Python Code Editor :

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Python: Tips of the Day

Find current directory and file's directory:

To get the full path to the directory a Python file is contained in, write this in that file:

import os 
dir_path = os.path.dirname(os.path.realpath(__file__))

(Note that the incantation above won't work if you've already used os.chdir() to change your current working directory, since the value of the __file__ constant is relative to the current working directory and is not changed by an os.chdir() call.)

To get the current working directory use

import os
cwd = os.getcwd()

Documentation references for the modules, constants and functions used above:

  • The os and os.path modules.
  • The __file__ constant
  • os.path.realpath(path) (returns "the canonical path of the specified filename, eliminating any symbolic links encountered in the path")
  • os.path.dirname(path) (returns "the directory name of pathname path")
  • os.getcwd() (returns "a string representing the current working directory")
  • os.chdir(path) ("change the current working directory to path")

Ref: https://bit.ly/3fy0R6m