An *equilateral triangle* is one where all sides have equal length. Suppose you have an equilateral triangle where each side is 2 feet long. Its area is  square feet.
Actually, we might do a problem like this more generally. Suppose your equilateral triangle has sides of length s feet. Then its area is A=  square feet.

To find the area of an equilateral triangle with side length \( s \), we can use a specific formula derived from basic geometric principles. For an equilateral triangle, the formula for its area \( A \) in terms of its side length \( s \) is:

\[
A = \frac{s^2 \sqrt{3}}{4}
\]

### For the given example:
If each side is \( 2 \) feet, then substituting \( s = 2 \) into the formula:

\[
A = \frac{2^2 \sqrt{3}}{4} = \frac{4 \sqrt{3}}{4} = \sqrt{3} \ \text{square feet}
\]

So, the area of the equilateral triangle with side length 2 feet is \( \sqrt{3} \) square feet.

### General formula:
For any equilateral triangle with side length \( s \), the area \( A \) is:

\[
A = \frac{s^2 \sqrt{3}}{4} \quad \text{square feet}
\]

Would you like further details on how this formula is derived, or any additional clarifications?

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Here are some related questions:
1. How is the height of an equilateral triangle calculated?
2. What is the perimeter of an equilateral triangle with side length \( s \)?
3. How does the formula for the area of an equilateral triangle differ from that of other triangles?
4. Can you find the area of an equilateral triangle with side length 5 feet?
5. How does the area of an equilateral triangle change as side length increases?

**Tip:** For any triangle, knowing the height helps calculate the area. The height can be found using the Pythagorean theorem.

An equilateral triangle is one where all sides have equal length. Suppose you have an equilateral triangle where each side is 2 feet long. Its area is square feet. Actually, we might do a problem like this more generally. Suppose your equilateral triangle has sides of length s feet. Then its area is A= square feet.

Discover how to calculate the area of an equilateral triangle using the formula A = (s^2 * sqrt(3)) / 4. Learn with a practical example where each side of the triangle is 2 feet. This guide covers key geometry concepts and the Pythagorean theorem, ideal for students in Grades 7-10.

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