# 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]]

**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]]

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