In ∆ PQR, D is the mid-point of QR.
![](/assets/questions/media/148618-63820-1656609677.png)
PM is _________________.
PD is _________________.
Is QM = MR?"
Given:
In $\triangle PQR, D$ is the mid-point of $\overline{QR}$.
To do:
We have to name $\overline{PM}, PD$ in $\triangle PQR$ and find whether $QM = MR$.
Solution:
An altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side.
In the given figure $\overline{PM}$ is perpendicular to $QR$.
So, $\overline{PM}$ is altitude.
A median of a triangle is a line segment joining a vertex to the mid-point of the side opposite side.
$PD$ divides $QR$ into equal parts as $D$ is the mid-point of $QR$.
So, $PD$ is the median.
In $\triangle PQR$, $D$ is the mid point of $QR$.
So, $QD=DR$
$\Rightarrow QM≠MR$.
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