Question:
In triangle ABC, \(B(10,9)\) and \(C(5,3)\). If D, E are mid points of AB, AC respectively, then slope of DE is
In triangle ABC, \(B(10,9)\) and \(C(5,3)\). If D, E are mid points of AB, AC respectively, then slope of DE is
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The midpoint theorem often avoids lengthy coordinate calculations.
Updated On: Jun 15, 2026
- \(\frac{5}{6}\)
- \(\frac{6}{5}\)
- \(-\frac65\)
- \(-\frac56\)
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The Correct Option is B
Solution and Explanation
Concept:
The line joining the midpoints of two sides of a triangle is parallel to the third side.
Hence,
\[
DE\parallel BC
\]
Therefore,
\[
\text{Slope}(DE)=\text{Slope}(BC)
\]
Step 1: Find slope of BC. \[ m_{BC} = \frac{9-3}{10-5} = \frac{6}{5} \] Therefore, \[ m_{DE}=\frac65 \] \[ \frac{6}{5} \]
Step 1: Find slope of BC. \[ m_{BC} = \frac{9-3}{10-5} = \frac{6}{5} \] Therefore, \[ m_{DE}=\frac65 \] \[ \frac{6}{5} \]
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