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

Ncert Solutions Chapter 5 Understanding Elementary Shapes Ex 5.6 Ncert Solutions For Class 6 Maths Chapter 5 Exercise 5.6 Ncert Solutions Class 6 Maths Chapter 5 Exercise 5.6 Ncert Class 6 Maths Chapter 5 Exercise 5.6 Class 6 Maths Ch 5 Ex 5.6 Ncert Maths Class 6 Chapter 5 Exercise 5.6

NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 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 = 8.7cm, AC =7cm andBC = 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°.
Solution :
(a) Scalene triangle
(b) Scalene triangle
(c) Equilateral triangle
(d) Right angled triangle
(e) Isosceles right triangle
(f) Acute angled triangle.

Question 2.
Match the following :

Measures of triangle Type 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

Solution :

Measures of triangle Type triangle
(i) 3 sides of equal length (e) Equilateral
(ii) 2 sides of equal length (g) Isosceles
(iii) All sides are of different length (a) Scalene
(iv) 3 acute angles (f) Acute-angled
(v) 1 right angle (d) Right angled
(vi) 1 obtuse angle (c) Obtuse angled
(vii) 1 right angle with two sides of equal length (b) Isosceles right angled

Question 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 Understanding Elementary Shapes 22
NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes 23
Solution :
(a) Acute-angled and isosceles.
(b) Right-angled and scalene.
(c) Obtuse-angled and isosceles.
(d) Right-angled and isosceles.
(e) Equilateral and acute-angled.
(f) Obtuse-angled and scalene.

Question 4.
Try to construct triangles using matchsticks. Some are shown here. Can you make a triangle with
NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes 24
(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.
Solution :
(a) Yes, an equilateral triangle.
(b) No, since the sum of the lengths of any two sides of a triangle is always greater than the length of the third side.
(c) Yes, an isosceles triangle.
(d) Yes, an equilateral triangle.