Given that $\angle A = 90^\circ$, the land forms a right triangle $\triangle ABC$ where:

• $AB = 59$ ft
• $AC = 46.2$ ft
• $\angle A = 90^\circ$

Step 1: Calculate the length of $BC$

Using the Pythagorean theorem: $BC = \sqrt{AB^2 + AC^2}$

Step 2: Calculate the area of $\triangle ABC$

The area of a right triangle can be calculated as: $\text{Area} = \frac{1}{2} \times AB \times AC$

Let's compute these values.The length of side $BC$ is approximately 74.94 feet. The total land area of the triangle is 1362.9 square feet.

Would you like more details or have any questions about this calculation? Here are some related questions you might find interesting:

1. What is the significance of a right angle in triangle calculations?
2. How does the Pythagorean theorem apply to other shapes?
3. How would the area change if one of the sides was longer?
4. How can we verify the calculation of $BC$?
5. What are other ways to calculate the area of a right triangle?
6. How does the accuracy of side measurements affect the area calculation?
7. What real-world applications can this calculation have?
8. Can this method be used for non-right triangles?

Tip: In a right triangle, the area can also be interpreted as half the product of the two legs (sides forming the right angle).