Mathematics Class 6 NCERT Solutions: Chapter 5 Understanding Elementary Shapes Exercise 5.6 – Part 1

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Types of triangles

Types of Triangles

Types of triangles

Q.1 Name the types of following triangles:

(a) Triangle with lengths of sides , and .

Answer: Scalene triangle

(b) With cm, cm and cm.

Answer: Scalene triangle

(c) Such that .

Answer: Equilateral triangle

(d)

Answer: Right-angled triangle

(e)

Answer: Isosceles right-angled triangle

Isosceles and right-angled triangle

Isosceles and Right-Angled Triangle

Isosceles and right-angled triangle

(f)

Answer: Acute-angled triangle

Q.2 Match the following:

Table of Measure of Triangle and Types of Triangle
Table of Measure of Triangle And Types of Triangle

Measure of Triangle

Types of Triangle

(i)

3 sides of equal length

(a)

Scalene

(ii)

2 sides of equal length

(b)

Isosceles right angle

(iii)

All sides are of different length

(c)

Obtuse angle

(iv)

3 acute angles

(d)

Right angle

(v)

1 right angle

(e)

Equilateral

(vi)

1 obtuse angle

(f )

Acute angle

(vii)

1 right angle with two sides of equal length

(g)

Isosceles

Answer:

Answer Table of Measure of Triangle and Types of Triangle
Answer table of Measure of Triangle And Types of Triangle

Measure of Triangle

Types of 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 angle

(v)

1 right angle

(d)

Right angle

(vi)

1 obtuse angle

(c)

Obtuse angle

(vii)

1 right angle with two sides of equal length

(b)

Isosceles right angle

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

(a)

Image of Acute Angled Triangle and Isosceles Triangle

Image of Acute Angled Triangle and Isosceles Triangle

Image of Acute Angled Triangle and Isosceles Triangle

Answer: Acute angled triangle and Isosceles triangle

(b)

Image of Right-Angled Triangle And Scalene Triangle

Image of Right-Angled Triangle and Scalene Triangle

Image of Right-Angled Triangle And Scalene Triangle

Answer: Right-angled triangle and scalene triangle

(c)

Image of Obtuse-Angled Triangle And Isosceles Triangle

Image of Obtuse-Angled Triangle and Isosceles Triangle

Image of Obtuse-Angled Triangle And Isosceles Triangle

Answer: Obtuse-angled triangle and Isosceles triangle

(d)

Image of Right-angled triangle and Isosceles triangle

Image of Right-Angled Triangle and Isosceles Triangle

Image of Right-angled triangle and Isosceles triangle

Answer: Right-angled triangle and Isosceles triangle

(e)

Image of Equilateral triangle and acute angled triangle

Image of Equilateral Triangle and Acute Angled Triangle

Image of Equilateral triangle and acute angled triangle

Answer: Equilateral triangle and acute angled triangle

(f)

Image of Obtuse-angled triangle and scalene triangle

Image of Obtuse-Angled Triangle and Scalene Triangle

Image of Obtuse-angled triangle and scalene triangle

Answer: Obtuse-angled triangle and scalene triangle