**Chapter 6 The Triangle and its Properties Exercise 6.1**

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:

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.