The Triangle and its Properties - Solutions

 CBSE Class –VII Mathematics

NCERT Solutions
Chapter 6 The Triangle and its Properties
 (Ex. 6.1)


Question 1. In ΔPQR, D is the mid-point of QR¯.
PM¯ is _______________
PD is ________________
Is QM = MR ?

Answer: Given: QD = DR

 PM¯ is altitude.

PD is median.

No, QM  MR as D is the mid-point of QR.

Question 2. Draw rough sketches for the following:

1. In ΔABC, BE is a median.
2. In ΔPQR, PQ and PR are altitudes of the triangle.
3. In ΔXYZ, YL is an altitude in the exterior of the triangle.

Answer: (a) Here, BE is a median in ΔABC and AE = EC.

(b) Here, PQ and PR are the altitudes of the ΔPQR and RP  QP.

(c) YL is an altitude in the exterior of ΔXYZ.

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

Answer: Isosceles triangle means any two sides are same.

Take ΔABC and draw the median when AB = AC.

AL is the median and altitude of the given triangle.