Class 6 - Mathematics
Chapter - Triangles and its Properties : Exercise 6.1
Top Block 1
1.In ∆PQR, D is the mid-point of QR.
PMis _______________
PD is ________________
Is QM = MR ?
Answer :
Given: QD = DR
∴PMis altitude.
PD is median.
No, QM ≠ MR as D is the mid-point of QR.
2.Draw rough sketches for the following:
- In ∆ABC, BE is a median.
- In ∆PQR, PQ and PR are altitudes of the triangle.
- In ∆XYZ, YL is an altitude in the exterior of the triangle.
Answer :
(a) Here, BE is a median in ∆ABC and AE = EC.
Mddle block 1
(b) Here, PQ and PR are the altitudes of the ∆PQR and RP ⊥ QP.
(c) YL is an altitude in the exterior of ∆XYZ.
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 ∆ABC and draw the median when AB = AC.
AL is the median and altitude of the given triangle.
