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Q.

In ∆PQR, D is the midpoint of QR, then PM is ____ and PD is the ____.


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Detailed Solution

In ∆PQR, D is the midpoint of QR, then PM is altitude and PD is the median.
Question Image It is given that in ∆PQR, D is the midpoint of QR.
We know that a line that is drawn perpendicularly from one vertex of a triangle to the opposite side is defined as the altitude of a triangle.
The median of a triangle is a line segment that bisects one side by connecting a vertex to the opposing side's midway.
Here, PM is perpendicular to QR in the given figure.
As a result, PM stands for altitude.
In addition, because D is the midpoint of QR, PD divides it into equal parts.
As a result, QD = DR, and so PD is the median.
 
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