Question

A triangle has the following side lengths: 8 centimeters, 13 centimeters, 15 centimeters. Which of the following statements best describes its construction? It is impossible to construct a triangle with these side lengths. There is one possible triangle with these side lengths. There are many possible triangles with these side lengths. There are many possible similar triangles with these side lengths.

Answer 1

I am not completely sure but I would think it would be the second statement. Hopes this helps.

Answer 2

The statements that best describes its construction is:

There is one possible triangle with these side lengths.

Explanation:

We know that with the help of three given angle measures infinite number of triangles could be constructed with different side lengths and with the help of three gives side lengths a unique triangle is constructed.

Here we are given three side lengths as:

8 centimeters, 13 centimeters, 15 centimeters.

This means that there is only one such triangle possible.