Class 7 The Triangle and its Properties Ex 6.1

 

NCERT Solutions For Class 7 Maths Chapter 6 – The Triangle and its Properties Ex 6.1

Simple solutions for NCERT Solutions for Class 7 Maths Exercise 6.1 Chapter 6 The Triangle and its Properties are given here in the post. This NCERT Solutions for Class 7 Maths Exercise 6.1 contains topics related to the raw data collection and its organisation. so we definitely want students of Class 7 to solve Class 7 The Triangle and its Properties NCERT Exercise 6.1 to empower their basics and test the students capability of understanding the concepts. It also helps the students of CBSE Class 7 Maths students.

1. In Δ PQR, D is the mid-point of .

(i)  is ___.

Solution:-

Altitude

An altitude has one endpoint at a vertex of the triangle and another 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 endpoint at a vertex of the triangle and another 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 the same.

Solution:-

Draw a line segment PS ⊥ QR. It is an altitude for this triangle. Here, we observe that the length of QS and SR is also the same. So PS is also a median of this triangle.