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.

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).

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.

Question 4.

Try to construct triangles using matchsticks. 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.

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)]