Respuesta :

Step-by-step explanation:

The given measurements are:

16 m, 21 m, 39 m

We know that, it is only possible to form a triangle if sum of the measures of any two lengths is always grater than the measure of third length.

[tex] \therefore \: 39 + 21 = 60 > 16 \\ \\ \: \: \: \: \: \: 16 + 39 = 55 > 21 \\ \\ \: \: \: \: \: \: 16 + 21 = 37 \ngtr39 \\ \\ \because \: last \: mathematical\: statement \: is \:\\ defying \: the \: above \: law \\ [/tex]

Therefore, it is not possible to form a triangle with given measurements.