EXERCISE  6.1

QUESTION 1

In ΔPQR, 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  ,  YL is an altitude drawn exterior to side XZ which is
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 BC . It is an altitude for this triangle. It can be observed
It the length of BD and DC is also same. Therefore, AD is also a median of this triangle.