Try to construct triangles using match sticks. Some are shown here. Can you make a triangle with $6$ 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.

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Solution

Constructing the triangle with $6$ matchsticks
We have total $6$ matchsticks by using of them we can construct the triangle shown below
It is an equilateral triangle since every sides are equal and also sum of any two sides is greater than the third side.
Hence above is the construction of an equilateral triangle with given matchsticks

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Try to construct triangles using match sticks. Some are shown here. Can you make a triangle with 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.

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