NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Exercise 5.6

NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Exercise 5.6 help students understand the method followed in finding the types of triangles. Scalene triangles, isosceles triangles, equilateral triangles, acute-angled, right-angled and obtuse-angled triangles are the various types which are explained here. The students can refer to the NCERT Solutions Class 6 Maths Chapter 5 and prepare for the exams well by knowing the exact answers that could help them score full marks.

NCERT Solutions for Class 6 Chapter 5 Understanding Elementary Shapes Exercise 5.6

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Access NCERT Solutions for Class 6 Chapter 5: Understanding Elementary Shapes Exercise 5.6

1. Name the types of following triangles.

(a) Triangle with lengths of sides 7 cm, 8 cm and 9 cm.

(b) ∆ABC with AB = 8.7 cm, AC = 7 cm and BC = 6 cm.

(c) ∆PQR, such that PQ = QR = PR = 5 cm.

(d) ∆DEF with ∠D = 90°

(e) ∆XYZ with ∠Y = 90° and XY = YZ.

(f) ∆LMN with ∠L = 30°, ∠M = 70° and ∠N = 80°.

Solutions:

(a) Scalene triangle

(b) Scalene triangle

(c) Equilateral triangle

(d) Right-angled triangle

(e) Right-angled isosceles triangle

(f) Acute-angled triangle

2. Match the following.

Measures of Triangle Type of Triangle

(i) 3 sides of equal length                                                              (a) Scalene

(ii) 2 sides of equal length                                                             (b) Isosceles right-angled

(iii) All sides are of different lengths                                           (c) Obtuse-angled

(iv) 3 acute angles                                                                             (d) Right-angled

(v) 1 right angle                                                                                  (e) Equilateral

(vi) 1 obtuse angle                                                                             (f) Acute-angled

(vii) 1 right angle with two sides of equal length                   (g) Isosceles

Solutions:

(i) Equilateral triangle

(ii) Isosceles triangle

(iii) Scalene triangle

(iv) Acute-angled triangle

(v) Right-angled triangle

(vi) Obtuse-angled triangle

(vii) Isosceles right-angled triangle

3. Name each of the following triangles in two different ways. (You may judge the nature of the angle by observation.)

NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.6 - 1

 

Solutions:

(i) Acute-angled and isosceles triangle

(ii) Right-angled and scalene triangle

(iii) Obtuse-angled and isosceles triangle

(iv) Right-angled and isosceles triangle

(v) Equilateral and acute-angled triangle

(vi) Obtuse-angled and scalene triangle

4. Try to construct triangles using match sticks. Some are shown here. Can you make a triangle with

(a) 3 matchsticks?

(b) 4 matchsticks?

(c) 5 matchsticks?

(d) 6 matchsticks?

(Remember, you have to use all the available matchsticks in each case.)

Name the type of triangle in each case. If you cannot make a triangle, think of reasons for it.

NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.6 - 2

Solutions:

(a) By using three match sticks, we may make a triangle, as shown below.
NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.6 - 3

The above triangle is an equilateral triangle.

(b) By using 4 match sticks, we cannot make a triangle since we know that sum of the lengths of any two sides of a triangle is always greater than the third side.

(c) By using 5 match sticks, we may make a triangle as shown below.

NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.6 - 4

The above triangle is an isosceles triangle.

(d) By using 6 match sticks, we may make a triangle, as shown below.

NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.6 - 5

The above triangle is an equilateral triangle.

Also, explore – 

NCERT Solutions for Class 6 Maths Chapter 5

NCERT Solutions for Class 6

NCERT Solutions


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