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

These NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6 Questions and Answers are prepared by our highly skilled subject experts.

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

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) Isosceles right-angled triangle
(f) Acute-angled triangle

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

Question 2.
Match the following:
Measure of Triangle Types of Triangle
(i) 3 sides of equal length (a) Scalene
(ii) 2 sides of equal length right angled (b) Isosceles
(iii) All sides are of different length angled (c) Obtuse
(iv) 3 acute angles angled (d) Right
(v) 1 right angle (e) Equilateral
(vi) 1 obtuse angle angled (f) Acute
(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)

Question 3.
Name each of the following triangles in two different ways: (You may judge the nature of angle by observation)
NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6 1
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

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

Question 4.
Try to construct triangles using match sticks. Some are shown here.
NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6 2
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)
If you cannot make a triangle, think of reasons for it.
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.
NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6 3
(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.
NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6 4
(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.
NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6 5

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