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.

- Understanding Elementary Shapes Class 6 Ex 5.1
- Understanding Elementary Shapes Class 6 Ex 5.2
- Understanding Elementary Shapes Class 6 Ex 5.3
- Understanding Elementary Shapes Class 6 Ex 5.4
- Understanding Elementary Shapes Class 6 Ex 5.5
- Understanding Elementary Shapes Class 6 Ex 5.7
- Understanding Elementary Shapes Class 6 Ex 5.8
- Understanding Elementary Shapes Class 6 Ex 5.9

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 6 |

Subject |
Maths |

Chapter |
Chapter 5 |

Chapter Name |
Understanding Elementary Shapes |

Exercise |
Ex 5.6 |

Number of Questions Solved |
4 |

Category |
NCERT Solutions |

## 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)** ∆AJBC with AB = 8.7 cm, AC = 7 cm and BC = 6 cm.

**(c)** ∆PQR such that PQ = QR = PR = 5 cm.

**(d)** ∆DEF with m∠D = 90°

**(e)** ∆XYZ with m∠Y = 90° and XY = YZ.

**(f)** ∆LMN with m∠L = 30°, m∠M = 70° and m∠N = 80°

Solution:

**(a)** Since all the sides are of different lengths

∴ It is scalene triangle.

**(b)** In ∆ABC, AB ≠ BC ≠ CA.

∴ AABC is scalene triangle.

**(c)** In ∆PQR, PQ = QR = PR

∴ ∆PQR is equilateral triangle.

**(d)** In ∆DEF, m∠D =90°

∴ ∆DEF is right angled triangle.

**(e)** In ∆ XYZ, m∠Y = 90° and XY = YZ

∴ ∆ XYZ is an isosceles right angled.

**(f)** As each angle of ∆ LMN is < 90°

∴ ∆ LMN is an acute angled triangle.

Question 2.

Match the following:

Solution:

The matching is as shown:

**(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 triangle; Acute angled triangle.

**(b)** Scalene triangle; Right angled triangle.

**(c)** Isosceles triangle; Obtuse angled triangle.

**(d)** Isosceles triangle; Right angled triangle.

**(e)** Equilateral triangle; Acute angled triangle.

**(f)** Scalene triangle; Obtuse angled triangle.

Question 4.

Try to construct triangles match sticks. Some are shown here. Gan 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 (as sum of two sides is always > the third side but here 1 + 1 = 2 ≱ ≯ 2).

**(c)** Yes, an isosceles triangle.

**(d)** Yes, an equilateral triangle.

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