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Mathematics · 2025 · 2 marks
CBSE 2025 · Region 1 · Set 3 · Q25
Find the length of the median through the vertex B of ABC with vertices A(9, -2), B(-3, 7) and C(-1, 10).
Find the length of the median through the vertex B of $\displaystyle \triangle \mathrm{ABC}$ with vertices A$\displaystyle (9, -2)$, B$\displaystyle (-3, 7)$ and C$\displaystyle (-1, 10)$.
Marking-scheme solution
Mid point of \(\displaystyle \mathrm{AC}=(4,4)\)
Length of median from B to \(\displaystyle \mathrm{AC}=\sqrt{(4+3)^{2}+(4-7)^{2}}\)
\[=\sqrt{58}
\]
Hence the length of median is \(\displaystyle \sqrt{58}\) units
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