 # NCERT Solutions for Class 7 Maths Exercise 6.1 Chapter 6 The Triangle and its Properties

NCERT Solutions for Class 7 Maths Exercise 6.1 Chapter 6 The Triangle and its Properties in simple PDF are given here. This exercise of NCERT Solutions for Class 7 Maths Chapter 6 contains topics related to the medians of a triangle and altitude of a triangle. Our expert teachers have formulated these solutions in precise, comprehensive form. Learn more about these topics by solving the questions of NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties with the help of solutions provided here.

## Download the PDF of NCERT Solutions For Class 7 Maths Chapter 6 The Triangle and its Properties – Exercise 6.1   ### Access Other Exercises of NCERT Solutions For Class 7 Maths Chapter 6 – The Triangle and its Properties

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### Access Answers to NCERT Class 7 Maths Chapter 6 – The Triangle and its Properties Exercise 6.1

1. In Δ PQR, D is the mid-point of . (i) is ____.

Solution:-

Altitude

An altitude has one end point at a vertex of the triangle and other on the line containing the opposite side.

(ii) PD is ____.

Solution:-

Median

A median connects a vertex of a triangle to the mid-point of the opposite side.

(iii) Is QM = MR?

Solution:-

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

2. Draw rough sketches for the following:

(a) In ΔABC, BE is a median.

Solution:-

A median connects a vertex of a triangle to the mid-point of the opposite side. (b) In ΔPQR, PQ and PR are altitudes of the triangle.

Solution:- An altitude has one end point at a vertex of the triangle and other on the line containing the opposite side.

(c) In ΔXYZ, YL is an altitude in the exterior of the triangle.

Solution:- In the figure we may observe that for ΔXYZ, YL is an altitude drawn exteriorly to side XZ which is extended up to point L.

3. Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.

Solution:- Draw a Line segment PS ⊥ BC. It is an altitude for this triangle. Here we observe that length of QS and SR is also same. So PS is also a median of this triangle.