which of the following measurements could be the side lengths of a right triangle?

D is correct

according to pythagorean theorem:

the only one that would fit in this equation would be D

good luck

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.