Ncert Solutions Chapter 5 Understanding Elementary Shapes Ex 5.6 Ncert Solutions For Class 6 Maths Chapter 5 Exercise 5.6 Ncert Solutions Class 6 Maths Chapter 5 Exercise 5.6 Ncert Class 6 Maths Chapter 5 Exercise 5.6 Class 6 Maths Ch 5 Ex 5.6 Ncert Maths Class 6 Chapter 5 Exercise 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.