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

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

NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.1 are the part of NCERT Solutions for Class 7 Maths (Rationalised Contents). Here you can find the NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.1.

## NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.1 (Rationalised Contents)

### Ex 6.1 Class 7 Maths Question 1.

In ∆PQR, D is the mid-point of QR.

PM is ____________.
PD is ____________.

Is QM = MR?

Solution:
PM is altitude.
PD is median.
No, QM ≠ MR. Because D is the mid-point of QR.

### Ex 6.1 Class 7 Maths 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:

### Ex 6.1 Class 7 Maths Question 3.

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

Solution:
Draw an isosceles triangle ∆ABC in which AB = AC.

Draw the median AD of the triangle.
Measure the angle ADC with the help of protractor. We find,
Thus, AD is the median as well as the altitude of the ∆ABC. Hence Verified.