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

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

These NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Ex 6.1 Questions and Answers are prepared by our highly skilled subject experts.

NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Exercise 6.1

Question 1.

Question 2.
Draw rough sketches for the following:
(a) In ΔABC, BE is a median.
(b) In ΔPQR, PQ and PR are altitudes of the triangle.
(c) In ΔXYZ, YL is an altitude in the exterior of the triangle.
Answer:

Question 3.
Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.
Answer:

ABC is an isosceles triangle having
AB = AC …(i)
Draw its median AD.
Consider ΔADB and ΔADC
AB = AC (By (i))
AD = AD (Common)
BD = DC
(Since AD is median)
⇒ ΔADB = ΔADC (SSS)
⇒ ∠ADB = ∠ADC = 90°
(Corresponding angles)
∠ADB = 90°