## 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 Exercise 6.1**

Ex 6.1 Class 7 Maths Question 1.

In ∆PQR, D is the mid-point of (overline{mathrm{QR}}) ,

(overline{mathrm{PM}}) is

(overline{mathrm{PD}}) is

If QM = MR?

Solution:

(overline{mathrm{PM}}) is altitude.

(overline{mathrm{PD}}) is median.

No, QM ≠ MR.

Ex 6.1 Class 7 Maths Question 2.

Draw rough sketches for the following:

(a) In ∆ABC, BE is a median.

(ib) 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:

∆ABC is an isosceles triangle in which AB = AC

Draw AD as the median of the triangle.

Measure the angle ADC with the help of protractor we find, ∠ADC = 90°

Thus, AD is the median as well as the altitude of the ∆ABC. Hence Verified.

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