**NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.1****NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.2****NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.3****NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.4****NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.5****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 5.7****NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.8**

**NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6 ****(Rationalised Contents)**

**Ex 5.6 Class 6 Maths Question 1.**

Name the types of following triangles:(Ð°) Triangle with lengths of sides 7 cm, 8 cm and 9 cm.

(b) ∆ABC 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) The lengths of the three sides of a triangle are
given as: 7 cm, 8 cm and 9 cm.

Since, all the sides of the given triangle are different.

Hence, it is a scalene triangle.

(b) Given in a ∆ABC, AB = 8.7 cm, AC = 7 cm and BC = 6 cm.

Here, AB ≠ AC ≠ BC. Hence, ∆ABC is a scalene triangle.

(c) Given in PQR, PQ = QR = PR = 5 cm.

Since all the sides of the triangle are equal.

Hence, it is an equilateral triangle.

(d) Given in ∆DEF, m∠D = 90°.

Hence, it is a right-angled triangle.

(e) Given in ∆XYZ, m∠Y = 90° and XY = YZ.

Hence, it is an isosceles right-angled triangle.

(f) Given in ∆LMN, m∠L = 30°, m ∠M = 70° and m∠N = 80°.

Hence, it is an acute-angled triangle.

**Ex 5.6 Class 6 Maths Question 2.**

Match the following:**Measure of triangle Type of 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:
**(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) (i) Acute-angled triangle or (ii) Isosceles triangle

(b) (i) Right-angled triangle or (ii) Scalene
triangle

(c) (i) Obtuse-angled triangle or (ii) Isosceles
triangle

(d) (i) Right-angled triangle or (ii) Isosceles
triangle

(e) (i) Acute-angled triangle or (ii) Equilateral
triangle

(f) (i) Obtuse-angled triangle or (ii) Scalene
triangle

**Ex 5.6 Class 6 Maths 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?

Name the type of triangle in each case.

If you cannot make a triangle, think of reasons for it.

**Solution:
**(a) Yes, we can make an equilateral triangle with 3
matchsticks.

(b) No, we cannot make a triangle with 4 matchsticks.

(c) Yes, we can make an isosceles triangle with 5 matchsticks.

(d) Yes, we can make an equilateral triangle with 6 matchsticks.

**Related Links:**

**NCERT Solutions for Maths Class 7**

**NCERT Solutions for Maths Class 8**

**NCERT Solutions for Maths Class 9**

**NCERT Solutions for Maths Class 10**