In ∆ PQR, D is the mid-point of QR.
PM is _____.
PD is _____.
Is QM ≠ MR?

Solution:

Let’s visually model this problem.

According to this model, PM is perpendicular on QR.

Also, PD divides QR into equal parts as D is the mid-point of QR.

Therefore, PM is altitude.

Also, D is the mid-point of QR.

Therefore, QD = DR and hence PD is the median

Yes, QM ≠ MR because D is the mid-point of QR.

☛ Check: NCERT Solutions for Class 7 Maths Chapter 6

Video Solution:

In ∆ PQR, D is the mid-point of QR . PM is _____. PD is _____. Is QM ≠ MR?

NCERT Solutions for Class 7 Maths Chapter 6 Exercise 6.1 Question 1

Summary:

In ∆ PQR, D is the mid-point of QR . PM is the altitude.  PD is the median. Yes, QM ≠ MR because D is the mid-point of QR.

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