The statements that best describes its construction is: There is one possible triangle with these side lengths. Step-by-step 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.