1. What is the Height of Equilateral Triangle?

The Height of Equilateral Triangle is a perpendicular line that is drawn from any vertex of the triangle to the opposite side. In an equilateral triangle, all three heights are equal and coincide with the medians.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( h \) — Height of Equilateral Triangle (m)
• \( M \) — Median of Equilateral Triangle (m)

Explanation: In an equilateral triangle, the height and median are equal, making the calculation straightforward.

3. Importance of Height Calculation

Details: Calculating the height of an equilateral triangle is essential for various geometric calculations, construction projects, and engineering applications where precise measurements are required.

4. Using the Calculator

Tips: Enter the median length of the equilateral triangle in meters. The value must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: Why are height and median equal in an equilateral triangle?
A: In an equilateral triangle, all sides and angles are equal, making the height and median coincide and have the same length.

Q2: Can this formula be used for other types of triangles?
A: No, this specific relationship only applies to equilateral triangles. Other triangle types have different relationships between height and median.

Q3: What are the practical applications of this calculation?
A: This calculation is used in architecture, engineering, construction, and various geometric problem-solving scenarios.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise for perfect equilateral triangles, as it's based on geometric properties.

Q5: Are there alternative methods to calculate height?
A: Yes, height can also be calculated using side length with the formula: \( h = \frac{\sqrt{3}}{2} \times a \), where a is the side length.