HBSE 6th Class Maths Solutions Chapter 5 Understanding Elementary Shapes Ex 5.6

Haryana State Board HBSE 6th Class Maths Solutions Chapter 5 Understanding Elementary Shapes Ex 5.6 Textbook Exercise Questions and Answers.

Haryana Board 6th Class Maths Solutions 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 arid 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°.
Solution:
(a) Scalene triangle.
(b) Scalene triangle.
(c) Equilateral triangle.
(d) Right-angled triangle.
(e) Isosceles right-angled triangle.
(f) Acute-angled triangle.

HBSE 6th Class Maths Solutions Chapter 5 Understanding Elementary Shapes Ex 5.6

Question 2.
Match :

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

Solution:
(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 the angle by observation).
HBSE 6th Class Maths Solutions Chapter 5 Understanding Elementary Shapes Ex 5.6 1
HBSE 6th Class Maths Solutions Chapter 5 Understanding Elementary Shapes Ex 5.6 2
Solution:
(a) Isosceles, Acute-angled.
(b) Scalene, Right-angled.
(c) Isosceles, Obtuse-angled.
(d) Isosceles, Right-angled.
(e) Equilateral, Acute-angled.
(f) Scalene, Obtuse-angled.

HBSE 6th Class Maths Solutions Chapter 5 Understanding Elementary Shapes Ex 5.6

Question 4.
Try to construct triangles using matchsticks. Some are shown here. Can you make a triangle with
HBSE 6th Class Maths Solutions Chapter 5 Understanding Elementary Shapes Ex 5.6 3
(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.
Solution:
(a) Yes, we can make an equilateral triangle with 3 matchsticks. [Fig. (i)]
(b) No, we cannot make a triangle with 4 matchsticks.
(c) Yes, we can make an isosceles triangle with 5 matchsticks. [Fig. (ii)]
(d) Yes, we can make an equilateral triangle with 6 matchsticks. [Fig. (iii)]
HBSE 6th Class Maths Solutions Chapter 5 Understanding Elementary Shapes Ex 5.6 4

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