Use this triangle median calculator to calculate median of triangle given the lengths of its sides. It also serves as a practical triangle median formula tool.
m_a = median from vertex opposite side a
a, b, c = sides of the triangle
The triangle median formula calculates the median to a side using the other two sides.
| a | b | c | Median ma |
|---|---|---|---|
| 5 | 4 | 3 | 4 |
| 6 | 5 | 4 | 5.147815 |
| 7 | 6 | 5 | 6.082763 |
| 8 | 5 | 6 | 6.782330 |
| 10 | 6 | 8 | 8.062258 |
To manually calculate median of triangle:
1. Identify the side opposite the vertex you want the median from (side a).
2. Measure the other two sides (b and c).
3. Apply the formula m_a = 0.5 × √(2b² + 2c² − a²).
4. The result is the length of the median from that vertex.
This triangle median calculator computes the median length instantly using the triangle median formula. Results are accurate up to six decimal places.
• The three medians of a triangle intersect at the centroid.
• The centroid divides each median in a 2:1 ratio.
• Medians are used in engineering and geometry.
• Knowing medians helps in balancing and center of mass calculations.
• Medians can be used to construct smaller triangles with equal area.