The Triangle and Its Properties Exercise 6.1 NCERT Solution for Class 7 Maths Chapter 6
The Triangle and Its Properties Exercise 6.2
The Triangle and Its Properties Exercise 6.3
The Triangle and Its Properties Exercise 6.4
The Triangle and Its Properties Exercise 6.5
Exercise 6.1
Question 1. In ∆PQR, D is the mid-point of QR ,
PM is ____________
PD is _____________
Is QM = MR?
Solution 1:-
Given, QD = DR and D is the mid point of QR
So, PM is altitude.
PD is median.
No, QM ≠ MR because D is the mid point of QR.
Question 2. Draw rough sketches for the following:
(a) In ∆ABC, BE is a median.
(b) In ∆PQR, PQ and PR are altitudes of the triangle.
(c) In ∆XYZ, YL is an altitude in the exterior of the triangle.
Solution 2:-
(a) BE is median in ∆ABC and AE = EC
(b) PQ and PR are the altitudes of the triangle PQR and RP perpendicular to QP.
(c) In triangle XYZ, YL is an altitude of the exterior of the triangle XYZ
Question 3 :- Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.
Solution 3:-
∆ABC is an isosceles triangle in which AB = AC
Draw AL, as the median of the triangle.
Measure the angle ALC with the help of protractor
we find, ∠ALC = 90°
Thus, AL is the median as well as the altitude of the ∆ABC.
Hence Verified.
NCERT Solutions for Class 7 Math, Chapter 6 – The Triangle and Its Properties, Exercise-6.1