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:

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:

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