Understanding Elementary Shapes-Solutions Ex-5.6
CBSE Class –VI Mathematics
NCERT Solutions
Chapter 5 Understanding Elementary Shapes (Ex. 5.6)
NCERT Solutions
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) with AB = 8.7 cm, AC = 7 cm and BC = 6 cm.
(c)PQR such that PQ = QR = PR = 5 cm.
(d)DEF with D =
(e)XYZ with Y = and XY = YZ
(f)LMN with L = M = and N =
Answer: (a) Scalene triangle
(b) Scalene triangle
(c) Equilateral triangle
(d) Right-angled triangle
(e) Isosceles right-angled triangle
(f) Acute-angled triangle
Question 2. Match the following:
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: (i) (e), (ii) (g), (iii) (a), (iv) (f), (v) (d), (vi) (c), (vii) (b)
Question 3. Name each of the following triangles in two different ways: (You may judge the nature of angle by observation)
Answer: (a) Acute angled triangle and Isosceles triangle
(b) Right-angled triangle and Scalene triangle
(c) Obtuse-angled triangle and Isosceles triangle
(d) Right-angled triangle and Isosceles triangle
(e) Equilateral triangle and acute angled triangle
(f) Obtuse-angled triangle and scalene triangle
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)
If you cannot make a triangle, think of reasons for it.
Answer: (a) 3 matchsticks
This is an acute angle triangle and it is possible with 3 matchsticks to make a triangle because sum of two sides is greater than third side.
(b) 4 matchsticks
This is a square, hence with four matchsticks we cannot make triangle.
(c) 5 matchsticks
This is an acute angle triangle and it is possible to make triangle with five matchsticks, in this case sum of two sides is greater than third side.
(d) 6 matchsticks
This is an acute angle triangle and it is possible to make a triangle with the help of 6 matchsticks because sum of two sides is greater than third side.