1. What is the Median of Equilateral Triangle?

The Median of Equilateral Triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. In an equilateral triangle, all medians are equal in length and intersect at the centroid.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( M \) — Median of Equilateral Triangle (m)
• \( r_c \) — Circumradius of Equilateral Triangle (m)

Explanation: This formula establishes the relationship between the median and the circumradius in an equilateral triangle, where the median is 1.5 times the circumradius.

3. Importance of Median Calculation

Details: Calculating the median of an equilateral triangle is important in geometry and various engineering applications where precise measurements of triangle properties are required.

4. Using the Calculator

Tips: Enter the circumradius value in meters. The value must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between median and circumradius?
A: In an equilateral triangle, the median is exactly 1.5 times the circumradius.

Q2: Are all medians equal in an equilateral triangle?
A: Yes, in an equilateral triangle, all three medians are equal in length.

Q3: Where do the medians intersect in an equilateral triangle?
A: All three medians intersect at the centroid, which is also the center of gravity of the triangle.

Q4: Can this formula be used for other types of triangles?
A: No, this specific relationship only applies to equilateral triangles.

Q5: What are the practical applications of this calculation?
A: This calculation is useful in architecture, engineering design, and various geometric computations involving equilateral triangles.