Ex.6.1 Q1 The Triangle and Its Properties - NCERT Maths Class 7

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Question

In \(∆ PQR,\) \( D\) is the mid-point of is \(\overline {QR} \,.\)

\(\overline{PM}\) _________________.

\(\overline{PD}\)is _________________.

Is \(QM ≠ MR? \)

 Video Solution
Triangle & Its Properties
Ex 6.1 | Question 1

Text Solution

What is known:

\(PQR\) is a triangle, \(D\) is the mid-point of \(QR\).

What is unknown:

What is and . Is \(QM ≠ MR?\)

Reasoning:

Let’s visually model this problem .There are three operations that done in sequence. First, check \(PM\) is perpendicular on \( QR\) or not,then check \(PD\) divides \(QR\) in equal parts or not and then find the mid-point of \(QR\).

According to this model, the result \(PM\) is perpendicular on \(QR\) then \(PD\) divides \(QR \) in equal parts and \(D \) is the mid-point of \(QR \).

Steps:

Given, \(PM \) is perpendicular on \(QR\). Therefore, \(PM \) is altitude.

 Also, \( D\) is the mid-point of \(QR\)

\(QD = DR\)

\(PD\) is median

No, \( QM ≠ MR\) , because \( D\) is the mid-point of \(QR\).

  
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