Answer :

(a) We can make a triangle by using 3 matchsticks. According to the property of a triangle the sum of two sides is greater than the length of the remaining side. It can be an equilateral triangle as it has all equal sides.

(b) By using 4 matchsticks it is not possible to make a triangle because in a triangle the sum of the two sides is greater than the length of the remaining side.

(c) Yes we can form a triangle by using 5 matchsticks.

(d) With the help of 6 matchsticks we can form a triangle.

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