NCERT Solutions for Class 7 Maths Exercise 6.1 Chapter 6 The Triangle and its Properties in simple PDF are given here. This exercise of NCERT Solutions for Class 7 Chapter 6 contains topics related to the medians of a triangle and altitude of a triangle. Our expert teachers have formulated these solutions in precise, comprehensive form. Learn more about these topics by solving the questions of NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties with the help of solutions provided here.
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1. In Δ PQR, D is the mid-point of 
.
(i) 
is .
Solution:-
Altitude
An altitude has one end point at a vertex of the triangle and other on the line containing the opposite side.
(ii) PD is .
Solution:-
Median
A median connects a vertex of a triangle to the mid-point of the opposite side.
(iii) Is QM = MR?
Solution:-
No, QM ≠MR because, D is the mid-point of QR.
2. Draw rough sketches for the following:
(a) In ΔABC, BE is a median.
Solution:-
A median connects a vertex of a triangle to the mid-point of the opposite side.
(b) In ΔPQR, PQ and PR are altitudes of the triangle.
Solution:-
An altitude has one end point at a vertex of the triangle and other on the line containing the opposite side.
(c) In ΔXYZ, YL is an altitude in the exterior of the triangle.
Solution:-
In the figure we may observe that for ΔLMN, LO is an altitude drawn exteriorly to side LN which is extended up to point L.
3. Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.
Solution:-
Draw a Line segment PS ⊥ BC. It is an altitude for this triangle. Here we observe that length of QS and SR is also same. So PS is also a median of this triangle.