1. What is the Perimeter of Equilateral Triangle Formula?

The formula calculates the perimeter of an equilateral triangle when the median length is known. In an equilateral triangle, all sides are equal and all medians have the same length.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( P \) — Perimeter of Equilateral Triangle (m)
• \( M \) — Median of Equilateral Triangle (m)
• \( \sqrt{3} \) — Square root of 3 (approximately 1.732)

Explanation: The formula derives from the relationship between the median and side length in an equilateral triangle, where the median is \( \frac{\sqrt{3}}{2} \) times the side length.

3. Importance of Perimeter Calculation

Details: Calculating the perimeter of geometric shapes is fundamental in mathematics, engineering, architecture, and various practical applications where boundary measurements are required.

4. Using the Calculator

Tips: Enter the median length in meters. The value must be positive and greater than zero for valid calculation.

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 \( \frac{\sqrt{3}}{2} \) times the side length.

Q3: Can this formula be used for other types of triangles?
A: No, this specific formula applies only to equilateral triangles where all medians are equal in length.

Q4: What are the units of measurement?
A: The calculator uses meters, but the formula works with any consistent unit of length (cm, mm, inches, etc.).

Q5: How accurate is the calculation?
A: The calculation is mathematically exact. The result is rounded to 6 decimal places for practical display purposes.