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Q.

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

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a

Side, Hypotenuse.

b

Altitude, Median

c

Median, Altitude

d

Median, Side

answer is B.

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Detailed Solution

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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 is an 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 a median. 

In ∆PQR, D is the midpoint of QR, then PM is an altitude and PD is the median.

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