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.