NCERT Class 6 Mathematics Fifth Chapter Understanding Elementary Shapes Exercise 5.6 Solutions

NCERT Class 6 Mathematics Fifth Chapter Understanding Elementary Shapes Exercise 5.6 Solutions

EXERCISE 5.6

(1) Name the types of following triangles:

(a) Triangle with lengths of sides 7 cm, 8 cm and 9 cm. = Scalene triangle

(b) ΔABC with AB = 8.7 cm, AC = 7 cm and BC = 6 cm. = Scalene triangle

(c) ΔPQR such that PQ = QR = PR = 5 cm. = Equilateral triangle

(d) ΔDEF with m ∠D = 90° = Right triangle

(e) ΔXYZ with m ∠Y = 90° and XY = YZ. = Isosceles triangle

(f) ΔLMN with m ∠L = 30°, m ∠M = 70° and m ∠N = 80°. = Acute – angled triangle

(2) Match the following:
Measures of Triangle Type of Triangle

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

(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) Acute – angled and triangle

(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.

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