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:

We will use the properties of triangles and types of triangles to solve this.

(a) Using 3 matchsticks, we can make an equilateral triangle, where sum of any 2 sides is greater than the third side.

(b) Using 4 matchsticks, we cannot make a triangle since the sum of the lengths of any two sides of a triangle has to be greater than the third side.

(c) Using 5 matchsticks, we can make an acute-angle isosceles triangle.

(d) Using 6 matchsticks, we can make an acute-angled equilateral triangle where sum of any 2 sides is greater than the third side.

NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.6 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.

Summary:

(a) Using 3 matchsticks we can make an equilateral triangle. (b) Using 4 matchsticks we cannot make a triangle. (c) Using 5 matchsticks we can make an isosceles triangle. (d) Using 6 matchsticks we can make an equilateral triangle.

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