﻿ Python: Find the coordinates of a triangle with the given side lengths - w3resource

# 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 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]]
```

Visual Presentation:

Sample Solution:

Python Code:

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

# Define a function named 'test' that takes a list 'sides' representing the side lengths of a triangle
def test(sides):
# Sort the side lengths in ascending order and assign them to variables a, b, and c
a, b, c = sorted(sides)

# Calculate the semi-perimeter of the triangle
s = sum(sides) / 2

# Use Heron's formula to calculate the area of the triangle
area = (s * (s - a) * (s - b) * (s - c)) ** 0.5

# Calculate the height of the triangle
y = 2 * area / a

# Calculate the x-coordinate of the third vertex using the Pythagorean theorem
x = (c ** 2 - y ** 2) ** 0.5

# Return the coordinates of the vertices of the triangle as a list of lists
return [[0.0, 0.0], [a, 0.0], [x, y]]

# Assign a specific list of side lengths 'sides' to the variable
sides = [3, 4, 5]

# Print the side lengths of the triangle
print("Sides of the triangle:", sides)

# Print a message indicating the operation to be performed
print("Coordinates of a triangle with the said side lengths:")

# Print the result of the test function applied to the 'sides' list
print(test(sides))

# Assign another specific list of side lengths 'sides' to the variable
sides = [5, 6, 7]

# Print the side lengths of the triangle
print("\nSides of the triangle:", sides)

# Print a message indicating the operation to be performed
print("Coordinates of a triangle with the said side lengths:")

# Print the result of the test function applied to the 'sides' list
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:

Python Code Editor :

Have another way to solve this solution? Contribute your code (and comments) through Disqus.

What is the difficulty level of this exercise?

Test your Programming skills with w3resource's quiz.

﻿