NCERT Solutions Class 7 Mathematics
Chapter – 6 (The Triangle and its Properties)
The NCERT Solutions in English Language for Class 7 Mathematics Chapter – 6 The Triangle and its Properties Exercise 6.1 has been provided here to help the students in solving the questions from this exercise.
Chapter : 6 The Triangles and its Properties
- NCERT Solution Class 7 Maths Exercise – 6.2
- NCERT Solution Class 7 Maths Exercise – 6.3
- NCERT Solution Class 7 Maths Exercise – 6.4
- NCERT Solution Class 7 Maths Exercise – 6.5
Exercise – 6.1
1. In Δ PQR, D is the mid-point of
(i)
(ii) PD is ____.
(iii) Is QM = MR?
Solution –
(i)
(ii) PD is Median.
(iii) Is QM = MR?
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.
(b) In ∆PQR, PQ and PR are altitudes of the triangle.
(c) In ∆XYZ, YL is an altitude in the exterior of the triangle.
Solution –
(a) In ΔABC, BE is a median.
A median connects a vertex of a triangle to the mid-point of the opposite side.
(b) In ∆PQR, PQ and PR are altitudes of the triangle.
An altitude has one end point at a vertex of the triangle and other on the line containing the opposite side.
(c) In ∆XYZ, YL is an altitude in the exterior of the triangle.
In the figure we may observe that for ΔXYZ, YL is an altitude drawn exteriorly to side XZ 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.