# NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Ex 6.1

These NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Ex 6.1 Questions and Answers are prepared by our highly skilled subject experts.

## NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Exercise 6.1

Question 1.
In ΔPQR, D is the mid-point of $$\overline{\text { QR }}$$.
PM is ……………
PD is ……………
Is QM = MR?

$$\overline{\mathrm{PM}}$$ is an altitude of ΔPQR.
$$\overline{\mathrm{PD}}$$ is a median of ΔPQR.
QM ≠ MR

Question 2.
Draw rough sketches for the following:
(a) In ΔABC, BE is a median.
(b) In ΔPQR, PQ and PR are altitudes of the triangle.
(c) In ΔXYZ, YL is an altitude in the exterior of the triangle.
(a) In the ΔABC, $$\overline{\mathrm{BE}}$$ is the median.

(b) In the right ΔQPR, $$\overline{\mathrm{PQ}}$$ and $$\overline{\mathrm{PR}}$$ are altitudes of the triangle.

(c) In the figure, $$\overline{\mathrm{YL}}$$ is an altitude of ΔXYZ.

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

ABC is an isosceles triangle having
AB = AC …(i)
∵ $$\overline{\mathrm{AD}}$$ is a perpendicular to $$\overline{\mathrm{BC}}$$.
Thus, $$\overline{\mathrm{AD}}$$ is the median as well as the altitude of ΔABC.