# EXERCISE 6.1

QUESTION 1

**In Δ PQR, D is the mid—point of **

(i) is ______ .

(ii) PD is ______ .

(iii) Is QM = MR ?

Sol :

(i) Altitude

(ii) Median

(iii) No

QUESTION 2

**Draw rough sketches for the following:**

**(a) In ∆ ABC , BE is a median.**

Sol :

**(b) In ∆ PQR , PQ and PR are altitudes of the triangle.**

Sol :

**(c) In ∆ XYZ , YL is an altitude in the exterior of the triangle.**

Sol :

Here, it can be observed that for **∆ XYZ **,

*is an altitude drawn exterior to side*

**YL****which is**

*XZ*extended up to point L.

QUESTION 3

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

Sol :

Draw a line segment ** AD** perpendicular to

**. It is an altitude for this triangle. It can be observed**

*BC*It the length of

**and**

*BD***is also same. Therefore,**

*DC***is also a median of this triangle.**

*AD*