## MP Board Class 7th Maths Solutions Chapter 6 The Triangles and Its Properties Ex 6.1

Question 1.

In ∆PQR, D is the mid-point of \(\overline{Q R}\).

\(\overline{P M}\) is ___.

PD is ___.

Is QM = MR?

Solution:

(i) PM is an altitude

(ii) PD is a median

(iii) 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 same.

Solution:

Draw a line segment AD perpendicular to BC. It can be observed that the length of BD and DC is also same. Therefore, AD is also a median of this triangle.