RBSE Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6

Rajasthan Board RBSE Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6 Textbook Exercise Questions and Answers.

RBSE Class 6 Maths 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) ΔABC with AB = 8.7 cm, AC = 7 cm and BC = 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°.
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 :

Answer:

Question 3.
Name each of the following triangles in two different ways :
(You may judge the nature of the 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 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.

Answer:
(a) 3 matchsticks Yes, by using 3 matchsticks, we can form a triangle as :

This is an acute-angled 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
No, by using four matchsticks, we cannot form a triangle because the sum of the length of any two sides of a triangle is always greater than the length of the third side of the triangle. Thus, a square is made. 

(c) 5 matchsticks
Yes, an acute-angled triangle is formed with the help of 5 matchsticks because in this case the sum of the two sides is greater than the third side.

(d) 6 matchsticks
Yes, this is an acute-angled triangle and it is possible to make a triangle with the help of 6 matchsticks because sum of the two scales of a triangle is greater than third side.