Ncert Solutions For Class 7 Maths Ex 6.1

NCERT Solutions For Class 7 Maths Ex 6.1 PDF Free Download

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 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

 

ncert sol class 7 math ch 6 ex 1
ncert sol class 7 math ch 6 ex 1
ncert sol class 7 math ch 6 ex 1

 

Access other exercises of NCERT Solutions For Class 7 Chapter 6 – The Triangle and its Properties

Exercise 6.2 Solutions

Exercise 6.3 Solutions

Exercise 6.4 Solutions

Exercise 6.5 Solutions

Access answers to Maths NCERT Solutions for Class 7 Chapter 6 – The Triangle and its Properties Exercise 6.1

1. In Δ PQR, D is the mid-point of NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Image 1.

NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Image 2

(i) NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Image 3 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.

NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Image 4

(b) In ΔPQR, PQ and PR are altitudes of the triangle.

Solution:-

NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Image 5

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:-

NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Image 6

In the figure we may observe that for ΔLMN, LO is an altitude drawn exteriorly to side LN 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:-


NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Image 7

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.


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