NCERT Solutions For Class 7 Maths Chapter 6 The Triangle and its Properties Exercise 6.1

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Class 7, Maths, Chapter 6, Exercise 6.1 Solutions

Q.1. In ∆ PQR, D is the mid-point of $\overline{QR}$.

(i) $\overline{PM}$is _________.

(ii) $\overline{PD}$is _________.

(iii) Is QM = MR?

Ans:

(i) $\overline{PM}$ is altitude.

(ii) $\overline{PD}$is median.

(iii) Is QM = MR?

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

Q.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.

Ans:

(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.

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

Ans: In isosceles triangle, any two sides are same.

Draw a Line segment AP ⊥ BC. It is an altitude for this triangle.

Here, length of BP and PC is also same. So, AP is the median and altitude of this triangle.