Students can download Chapter 5 Understanding Elementary Shapes Ex 5.6 KSEEB Solutions for Class 6 Maths helps you to revise the complete syllabus.

## Karnataka State Syllabus Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6

Question 1.

Name the types of following triangles:

Solution:

a) Triangle with lengths of sides 7 cm,8 cm, and 9 cm.

Scalene triangle

b) ∆ ABC with AB = 8.7 cm, AC = 7 cm, and BC = 6 cm.

Scalene triangle

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

Equilateral triangle

d) ∆ DEE with m∠D = 90°

Right – angled triangle

e) ∆ XYZ with m∠Y = 90°and XY = YZ

Right – angled isosceles triangle

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

Acute angled triangle.

Question 2.

Match the following :

Solution:

1 – (e),

2 – (g),

3 – (a),

4 – (f),

5 – (d),

6 – (c),

7 – (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) Acute angle and isosceles.

b) Right – angle and scalene

c) Obtuse – angled and isosceles

d) Act Right – angled and isosceles

e) Acute – angles and equilateral

f) Obtuse angled and scalene.

Question 4.

Try to construct triangles using match sticks, 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) By using 3 matchsticks. we can from as triangle as

b) By using 4 matchsticks, we cannot form a triangle, of this is because the sum of the lengths

of any two sides of a triangle is always greater than the length of the remaining side of the triangle.

c) By using 5 matchsticks, we can form a triangle as.

d) By using 6 matchsticks, we can from a triangle as.