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

Exercise 5.6

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Ex-5.1
Ex-5.2
Ex-5.3
Ex-5.4
Ex-5.5
Ex-5.6
Ex-5.7
Ex-5.8
Ex-5.9

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Q 1 - Ex 5.6 - Understanding Elementary Shape - NCERT Maths Class 6th - Chapter 5

Page No 103:

Question 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) Right-angled isosceles triangle
(f) Acute-angled triangle

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Q 2 - Ex 5.6 - Understanding Elementary Shape - NCERT Maths Class 6th - Chapter 5

Question 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) Equilateral (e)
(ii) Isosceles (g)
(iii) Scalene (a)
(iv) Acute-angled (f)
(v) Right-angled (d)
(vi) Obtuse-angled (c)
(vii) Isosceles right-angled (b)

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Q 3 - Ex 5.6 - Understanding Elementary Shape - NCERT Maths Class 6th - Chapter 5

Question 3:

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

Answer:

(a) Acute-angled and isosceles
(b) Right-angled and scalene
(c) Obtuse-angled and isosceles
(d) Right-angled and isosceles
(e) Acute-angled and equilateral
(f) Obtuse-angled and scalene

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Page No 104:

Question 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.

Answer:

(a) By using 3 matchsticks, we can form a triangle as

(b) By using 4 matchsticks, we cannot form a triangle. This is because the sum of the lengths of any two sides of a triangle is always greater than the length of the remaining side of the triangle.

(c) By using 5 matchsticks, we can form a triangle as

(d) By using 6 matchsticks, we can form a triangle as