# 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

Ex 5.6 Class 6 Maths 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.

Ex 5.6 Class 6 Maths 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)

Ex 5.6 Class 6 Maths 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.

Ex 5.6 Class 6 Maths 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.

We hope the NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6 help you. If you have any query regarding NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6, drop a comment below and we will get back to you at the earliest.

## 0 Comments