Table of Contents

Toggle## Class 7, Maths, Chapter 6, Exercise 6.1 Solutions

**Q.1. In ∆ PQR, D is the mid-point of $\overline{QR}$.**

**(i) **** $\overline{PM}$is _________.**

**(ii) **** $\overline{PD}$is _________.**

**(iii) Is QM = MR?**

**Ans:**

(i) $\overline{PM}$ is altitude.

(ii) $\overline{PD}$is median.

(iii) Is QM = MR?

No, QM ≠ MR because, D is the mid-point of QR.

**Q.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.**

**Ans:**

**(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.**

**Q.3. Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.**

**Ans:**** In i**sosceles triangle, any two sides are same.

Draw a Line segment AP ⊥ BC. It is an altitude for this triangle.

Here, length of BP and PC is also same. So, AP is the median and altitude of this triangle.

## NCERT Solutions For Class 7 Maths, Chapter 6, The Triangle and its Properties (All Exercises)

**Class 7, Maths, Chapter 6, The Triangle and Its Properties **

**Class 7, Maths, Chapter 6, The Triangle and Its Properties, Exercise 6.1** **← You are here**

**Class 7, Maths, Chapter 6, The Triangle and Its Properties, Exercise 6.2**

**Class 7, Maths, Chapter 6, The Triangle and Its Properties, Exercise 6.3**

**Class 7, Maths, Chapter 6, The Triangle and Its Properties, Exercise 6.4**

**Class 7, Maths, Chapter 6, The Triangle and Its Properties, Exercise 6.5**