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

Rajasthan Board RBSE Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Ex 6.1 Textbook Exercise Questions and Answers.

RBSE Class 7 Maths Solutions Chapter 6 The Triangles and Its Properties Ex 6.1

Question 1.
In ΔPQR,D is the mid-point of \(\overline{Q R}\). \(\overline{Q R}\) is _______________. PD is _______________
Is QM = MR?

Answer:
\(\overline{P M}\) is an altitude of ΔPQR
PD is a median of ΔPQR.
∴ QM ≠ MR

Question 2.
Draw rough sketches for the following:
(a) In ΔABC, BE is a median.
Answer:
In ΔABC, \(\overline{B E}\) is the median.

(b) In ΔPQR, PQ and PR are altitudes of the triangle.
Answer:
In right-angled triangle PQR, \(\overline{P Q}\) and \(\overline{P R}\) are altitudes.

(c) In ΔXYZ, YL is an altitude in the exterior of the triangle.
Answer:
\(\overline{Y L}\) is an altitude of ΔXYZ

Question 3.
Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.
Answer:
In ΔABC, \(\overline{A B}=\overline{A C}\)
ΔABC is an isosceles triangle. Draw perpendicular AL to BC. 
∠ALC = 90°

Thus, \(\overline{A L}\) is median as well as altitude of ΔABC.