Given the corner points of a triangle (x1, y1), (x2, y2), (x3, y3), compute the area. Hint: The area of the triangle with corner points (0, 0), ( , ), and ( , ) is | · – · | / 2. Complete the following code:
To compute the area of a triangle given its corner points (x1, y1), (x2, y2), and (x3, y3), we can use the formula for the area of a triangle using coordinates. The formula states that the area of a triangle with corner points (x1, y1), (x2, y2), and (x3, y3) is given by |(x1(y2 – y3) + x2(y3 – y1) + x3(y1 – y2))/2|.
The code to compute the area of the triangle can be implemented as follows:
def compute_triangle_area(x1, y1, x2, y2, x3, y3):
area = abs((x1*(y2 – y3) + x2*(y3 – y1) + x3*(y1 – y2))/2)
The function `compute_triangle_area` takes in the x and y coordinates of the three corner points of the triangle and returns the computed area.
Let’s go through the code step by step:
1. We define a function called `compute_triangle_area` that takes six arguments: x1, y1, x2, y2, x3, y3.
2. Inside the function, we calculate the area using the given formula:
– `(x1*(y2 – y3) + x2*(y3 – y1) + x3*(y1 – y2))/2` computes the expression within the absolute value brackets.
– `abs()` is used to ensure that the result is positive.
3. We store the computed area in the `area` variable.
4. Finally, we return the computed area.
You can use this function by calling it and passing the x and y coordinates of the triangle’s corner points as arguments. For example:
# Example usage
triangle_area = compute_triangle_area(0, 0, 2, 4, 5, 1)
print(“The area of the triangle is:”, triangle_area)
In the example above, we are calling the `compute_triangle_area` function with the corner points (0, 0), (2, 4), and (5, 1). The computed area is then printed to the console.
Make sure to provide the correct x and y coordinates of the corner points when using the function to obtain accurate results.
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