Land	AB=59, AC=46.2, BC=?, Angel A=90 Degree. All the values are in foot so please Calculate total land area in square feet.

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).

Learn how to calculate the total land area of a right triangle with given side lengths AB = 59 feet and AC = 46.2 feet. Includes step-by-step calculation using the Pythagorean theorem and triangle area formula. Suitable for students in Grades 7-9.

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