**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 **

**,**

is

is

If QM = MR?

Solution:

is altitude.

is median.

No, QM ≠ MR.

If QM = MR?

Solution:

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:

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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