Analyzing Triangle Side Lengths Ruben has two congruent wooden dowels. He cuts one dowel in two in order to have three pieces to make a triangle. Explain why, despite having three sides, Ruben will not be able to make a triangle with his three pieces.

It is given in the question that

Ruben has two congruent wooden dowels. He cuts one dowel in two in order to have three pieces to make a triangle.

First we have to check out triangle inequality theorem, which is sum of two sides of a triangle must be greater then the third side .

But here the sum of two pieces of the cutted dowel is equal to the lenth of the first dowel.

SO here triangle inequality theorem is not following .

Hence , Ruben will not be able to make a triangle with his three pieces.