Answer :

Here, we have given the length of two sticks, i.e.

First stick = 4cm and second stick = 6cm



Now, let length of the third stick be L


It is given that the figure made through these sticks will be like Triangle.


So, by Triangle Inequality Theorem



Now, we have a = 6cm and b = 4cm and we have to find c.


So,


a – b < c < a + b


6 – 4 < c < 6 + 4


2 < c < 10


Thus, c lies between 2 cm and 10 cm


Hence, the length of the third stick (L) lies between 2cm and 10 cm


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