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.
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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