Gujarat BoardĀ GSEB Textbook Solutions Class 7 Maths Chapter 6 The Triangles and Its Properties Ex 6.1 Textbook Questions and Answers.
Gujarat Board Textbook Solutions Class 7 Maths Chapter 6 The Triangles and Its Properties Ex 6.1
Question 1.
In āPQR, D is the mid-point of \(\overline{Q R}\).
\(\overline{P M}\) is _______
PD is _______
Is QM = MR?
Solution:
PM is an altitude of āPQR.
PD is a median of āPQR.
No, QM ā MR.
Question 2.
Draw rough sketches for the following:
(a) In āABC, BE is a median.
(b) In āPQR, PQ and PR are altitudes of the triangle.
(c) In āXYZ, YL is an altitude in the exterior of the triangle.
Solution:
(a) In the adjoining figure, \(\overline{B E}\) is a median of AABC.
(b) In right āQPR, \(\overline{P Q}\) and \(\overline{P R}\) are altitudes of the triangle.
(c) In the following figure, \(\overline{Y L}\) is an altitude of āXYZ.
Question 3.
Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same. Solution: In the adjoining figure, āABC is an isosceles triangle having AB = AC.
Draw its median AD. Now, with the help of a protractor, measure the ā ADB.
We find that
ā ADB = 90Ā°
ā“ AD is a perpendicular to BC
Thus, \(\overline{A D}\) is the median as well as an altitude of āABC.