NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6, are part of NCERT Solutions for Class 6 Maths. Here we have given NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 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).
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
(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.
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