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.