हिन्दी में पढ़ेंHome › Formulas › Properties of a triangle › Median length
Median length
mₐ = ½ √(2b² + 2c² − a²)
Where: a = side opposite A, b = side opposite B, c = side opposite C, mₐ = Median length
Solved example
Given: a = 7, b = 5, c = 10
Find: m_a (Median length)
- Formula: mₐ = √(-a² + 2·b² + 2·c²)/2
- Substitute the values: mₐ = √(2·10² + 2·5² - 7²)/2
- Result: mₐ = 7.088723
Answer: m_a = 7.088723
Calculator
How to calculate Median length
- Write down the formula: mₐ = ½ √(2b² + 2c² − a²).
- Note the known values (a, b, c).
- Substitute them and simplify to find m_a.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Median length?
The formula is mₐ = ½ √(2b² + 2c² − a²), where a = side opposite A, b = side opposite B, c = side opposite C, mₐ = Median length.
What is Median length when a = 7, b = 5, c = 10?
m_a = 7.088723. Substitute the values into mₐ = ½ √(2b² + 2c² − a²) and simplify.