CBSE 2025 · Region 1 · Set 3 · Q25 · 2 marks
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
Coordinate GeometryMidpoint of a Line SegmentApplyvery_short_answereasy
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CBSE Class 10 Mathematics past-paper question from the 2025board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.