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 PQR, D is the mid-point of
is _______________
PD is ________________
Is QM = MR ?
Answer: Given: QD = DR
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 ABC, BE is a median.
2. In PQR, PQ and PR are altitudes of the triangle.
3. In XYZ, YL is an altitude in the exterior of the triangle.
Answer: (a) Here, BE is a median in and AE = EC.
(b) Here, PQ and PR are the altitudes of the PQR and RP QP.
(c) YL is an altitude in the exterior of XYZ.
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 and draw the median when AB = AC.
AL is the median and altitude of the given triangle.