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You are here: Home / NCERT Solutions / Class 6 / Maths / Chapter 5 Understanding Elementary Shapes / Exercise 5.6

Exercise 5.6

Last Updated on June 19, 2019 By Mrs Shilpi Nagpal Leave a Comment

Class 6 | Mathematics | 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) ΔABC with AB = 8.7 cm, AC = 7 cm and BC = 6 cm.
(c) ΔPQR such that PQ = QR = PR = 5 cm.(d) ΔDEF with m ∠D = 90°
(e) ΔXYZ with m ∠Y = 90° and XY = YZ
(f) ΔLMN with m ∠L = 30°, m ∠M = 70° and m∠N = 80°.

Answer:

(a) Scalene triangle

(b) Scalene triangle

(c) Equilateral triangle

(d) Right-angled triangle

(e) Isosceles right-angled 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 length                   (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

Answer :

(i) : (e)

(ii) : (g)

(iii) : (a)

(iv) : (f)

(v) : (d)

(vi) : (c)

(vii) : (b)

3. Name each of the following triangles in two different ways: (you may judge the
nature of the angle by observation)
Ex 5.6 Maths Class 6

Answer:

(a) Acute angled triangle and Isosceles triangle

(b) Right-angled triangle and scalene triangle

(c) Obtuse-angled triangle and Isosceles triangle

(d) Right-angled triangle and Isosceles triangle

(e) Equilateral triangle and acute angled triangle

(f) Obtuse-angled triangle and scalene triangle

4. Try to construct triangles using sticks. Some are shown here. 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.

Ex 5.6 Maths Class 6 (1)

Answer:

(a) 3 matchsticks This is an acute angle triangle and it is possible with 3 matchsticks to make a triangle because sum of two sides is greater than third side.

(b) 4 matchsticks This is a square, hence with four matchsticks we cannot make triangle.

Square

(c) 5 matchsticks This is an acute angle triangle and it is possible to make triangle with five matchsticks, in this case sum of two sides is greater than third side.

5 matchsticks

(d) 6 matchsticks This is an acute angle triangle and it is possible to make a triangle with the help of 6 matchsticks because sum of two sides is greater than third side.

Triangle

Filed Under: Chapter 5 Understanding Elementary Shapes, Class 6, Maths, NCERT Solutions

About Mrs Shilpi Nagpal

Author of this website, Mrs Shilpi Nagpal is MSc (Hons, Chemistry) and BSc (Hons, Chemistry) from Delhi University, B.Ed (I. P. University) and has many years of experience in teaching. She has started this educational website with the mindset of spreading Free Education to everyone.

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