NCERT Solutions for Class 7 Maths Chapter 6 Exercise 6.4

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NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties Exercise 6.4 is provided as a pdf file to help students in their assignments and exams.

Exercise 6.4 introduces students to an equilateral and isosceles triangle. When each of the sides of a triangle is of the same length, it is an equilateral triangle. Similarly, if any two sides of a triangle are of the same length, it is said to be an isosceles triangle. In exercise 6.4, students are also familiarised with two important properties related to the sum of the lengths of two sides of a triangle. It can be summarised as:

The sum of the lengths of any two sides of a triangle is always greater than the length of the third side.
The difference between the lengths of any two sides is always smaller than the length of the third side.

Download PDF: NCERT Solutions for Class 7 Maths Chapter 6 Exercise 6.4

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Example From Class 7 Chapter 6 The Triangle and its Properties

Ques. Identify the types of triangles based on the sides:

Identify the types of triangles based on the sides

Ans.

(i) In the figure,

PQ = 5 cm, PR = 6 cm, and QR = 7 cm

We see that the sides, PQ ≠ PR ≠ QR

Therefore,

ΔQPR is not a scalene triangle.

(ii)In the figure,

AB = 4 cm, AC = 4 cm

Thus the two sides, AB = AC

Therefore,

ΔABC is an isosceles triangle.

(iii)In the figure,

MN = 3 cm, ML = 3 cm and NL = 3 cm

All sides of the triangle are equal in length.

MN = ML = NL

Therefore,

ΔMNL is an equilateral triangle.

Read More:

Triangles	Area of Equilateral Triangle	Area of Isosceles Triangle
Properties of a Triangle	Isosceles Triangle Theorems	Isosceles Right Triangle

Class 7 Maths Links:

NCERT Solutions for Class 7 Maths	Maths MCQs	Maths Study Material
Maths Formulas	Triangles Important Questions	Difference Between in Maths
Triangle Theorems	Important Terms: Triangles	Perimeter of a Triangle