# 
## 
In mathematics, it's a common assignment to determine a triangle's area. Given the measurements of a triangle's three sides, we can apply Heron's formula in Python to get the area of the triangle. Heron's formula may be applied using basic arithmetic operations based on the idea of a triangle's semi-perimeter.

## Understanding Heron's formula

The area of a triangle may be determined using Heron's formula based on the measurements of its sides. The equation reads as follows:

$$
area = \sqrt{(s \times (s - a) \times (s - b) \times (s - c))}
$$



where, 
- The area of the triangle is represented by $area$.

- $s$ stands for semi-perimeter, we can calculate by using the following formula:

$$
s =\frac {(a + b + c)} {2}
$$
 







- The variables $a$, $b$ and $c$ represents the three sides of a triangle.

## Implementation

Let's calculate the triangle's area using Heron's formula in Python.

import math


def calculate_triangle_area(a, b, c):
    # Calculate the semi-perimeter
    s = (a + b + c) / 2

    # Calculate the area using Heron's formula
    area = math.sqrt(s * (s - a) * (s - b) * (s - c))

    return area


# Example usage
side_a = 5
side_b = 12
side_c = 13

triangle_area = calculate_triangle_area(side_a, side_b, side_c)
print("The area of the triangle is:", triangle_area)


## Explanation

- **Line 4:** We define a function called `calculate_triangle_area` that takes three arguments: `a`, `b`, and `c`, representing the lengths of the triangle's sides.

- **Line 6:** By summing the three side lengths and dividing the total by `2`, we determine the semi-perimeter `s` within the function.

- **Line 9:** We calculate the `area` by multiplying the semi-perimeter `s` with the differences between the semi-perimeter and each side length and taking the square root of the result using `math.sqrt()`.

- **Line 11:** It returns the calculated `area` from the function.

- **Line 19:** We provide the side lengths of a triangle (`5`, `12`, and `13`) and assign the result of calling the `calculate_triangle_area `function to the variable `triangle_area`.

- **Line 20:** We print the result, displaying the area of the triangle.



How to calculate the area of a triangle in Python

Understanding Heron’s formula

Implementation

Explanation