NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.1
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| Textbook | NCERT |
| Board | CBSE |
| Category | NCERT Solutions |
| Class | Class 7 |
| Subject | Maths |
| Chapter | Chapter 6 |
| Chapter Name | The Triangle and its Properties Ex 6.1 |
| Number of Questions Solved | 3 |
NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.1
NCERT TEXTBOOK EXERCISES
Question 1. In ∆PQR, D is the mid-point of $\overline { QR }$.
Solution:
$\overline { PM }$ is the altitude.
PD is the median.
No! QM ≠ MR.
Question 2. Draw rough sketches for the following:
(a) In ∆ ABC, 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:
Question 3. Verify by drawing a diagram if the median and altitude of an isosceles triangle can be the same.
Solution:
AD is the median.
AL is the altitude.
Draw a line segment BC. By paper folding, locate the perpendicular bisector of BC. The folded crease meets BC at D, its mid-point.
Take any point A on this perpendicular bisector. Join AB and AC. The triangle thus obtained is an isosceles ∆ABC in which AB = AC.
Since D is the mid-point of BC, so AD is its median. Also, AD is the perpendicular bisector of BC. So, AD is the altitude of ∆ABC.
Thus, it is verified that the median and altitude of an isosceles triangle are the same.
NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.1 PDF
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Class 7 Maths Chapter 6 The Triangle and its Properties
- Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.1
- Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.2
- Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.3
- Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.4
- Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.5
