Haryana State Board HBSE 7th Class Maths Solutions Chapter 6 The Triangles and Its Properties Ex 6.1 Textbook Exercise Questions and Answers.
Haryana Board 7th Class Maths Solutions Chapter 6 The Triangles and Its Properties Exercise 6.1
Question 1.
In ∆PQR, D is the mid point of QR.
\(\overline{\mathrm{PM}}\) is …………
PD is ………….
Is QM = MR ?
Solution:
\(\overline{\mathrm{PM}}\) is the altitude of ∆PQR. PD i Since median is the segment.
hence, QD = DR
But, QM ≠ MR.
Question 2.
Draw rough sketches for the folowing;
(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 th triangle.
Answer:
(a) Hence BE is a median[fig (a)]
(b) In a ∆PQR, PQ and PR are sides of ∆PQR. [Fig. (b)]
(c) YL is the altitude of the triangle. ∆XYZ [Fig. (c)]
Question 3.
Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.
Solution:
The median and altitude of an isosceles triangle can not be same.
In a ∆ABC AD, BE, CF are median but AL, BM and CN are altitude.
Hence O and O’ are the mid point of median and altitude respectively.
