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Question
If we join a vertex to a point on opposite side which divides that side in the ratio 1 : 1, then what is the special name of that line segment?
Options
Median
Angle bisector
Altitude
Hypotenuse
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Solution
Median
Explanation:
Consider ΔABC in which AD divides BC in the ratio 1 : 1.
Now, BD : DC = 1 : 1
⇒ `(BD)/(DC) = 1/1`
∴ BD = DC
Since, AD divides BC into two equal parts.
Hence, AD is the median.
Notes
The line segment joining a vertex of a triangle to the mid-point of its opposite side is called a median.
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