1. What is the Area of Equilateral Triangle?

The area of an equilateral triangle is the amount of space enclosed within its three equal sides. For an equilateral triangle, all sides are equal and all angles are 60 degrees.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Median \) — The median length of the equilateral triangle
• \( \sqrt{3} \) — Square root of 3 (approximately 1.732)

Explanation: In an equilateral triangle, the median, altitude, and angle bisector are all the same line. This formula provides a direct way to calculate the area using the median length.

3. Importance of Area Calculation

Details: Calculating the area of an equilateral triangle is important in various fields including geometry, architecture, engineering, and design where precise measurements are required.

4. Using the Calculator

Tips: Enter the median length of the equilateral triangle. The value must be positive and greater than zero. The calculator will compute the area using the formula above.

5. Frequently Asked Questions (FAQ)

Q1: What is an equilateral triangle?
A: An equilateral triangle is a triangle with all three sides of equal length and all three angles equal to 60 degrees.

Q2: How is the median related to the side length?
A: In an equilateral triangle, the median length is equal to \( \frac{\sqrt{3}}{2} \times side \) length.

Q3: Can I use this formula for other types of triangles?
A: No, this specific formula only applies to equilateral triangles. Other triangle types have different area formulas.

Q4: What are the units of measurement?
A: The median should be entered in meters, and the area will be calculated in square meters. You can use any consistent unit system.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact, assuming precise input values. The calculator provides results with 6 decimal places for accuracy.