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.
(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.
Solution and Explanation
(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.
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