Understanding Elementary Shapes, Exercise 5.6

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NCERT Solutions for class 6, Maths chapter 5 has basic learning concepts of various shapes. This class 6 maths exercise 5.6 is about knowledge of different types of angles like acute angle, Obtuse angle, Right angle, Isosceles angles etc. In this exercise, students can practice them. The questions in this exercise named as Understanding Elementary Shapes, Exercise 5.6 given below.

Understanding Elementary Shapes, Exercise 5.6

Q.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 m D ∠ = 90°

(e) ∆XYZ with m Y ∠ = 90° and XY = YZ.

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

Ans: (a) Scalene triangle

(b) Scalene triangle

(d) Right angled triangle

(e) Isosceles right-angled triangle

(f) Acute angled triangle

Q.2. Match the following:

Ans:

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

Ans: (a) Acute angled and isosceles triangle

(b) Right angled and scalene triangle

(d) Right angled and isosceles triangle

(e) Equilateral and acute angled triangle

(f) Obtuse angled and scalene triangle

Q.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.

Ans: (a) 3 matchsticks : Yes, Triangle can be made with 3 matchsticks.

Type of triangle : Equilateral and Acute angled triangle

(b) 4 matchsticks :No, Triangle cannot be made with 4 matchsticks. since, we know that sum of the lengths of any two sides of a triangle is always greater than the third side.

(c) 5 matchsticks : yes, Triangle can be made with 5 matchsticks.

Type of triangle : Isosceles triangle