Answer:
<h2>Sonji</h2>
Step-by-step explanation:
To find the answer, we need to recur to the triangular inequality, which states that the sum of two sides must be greater than the third side
![a+b>c](https://tex.z-dn.net/?f=a%2Bb%3Ec)
So, if we apply this triangular inequality to each case, we would find that Sonji's wires can make a triangle, because
![12+8 > 17\\20 > 17](https://tex.z-dn.net/?f=12%2B8%20%3E%2017%5C%5C20%20%3E%2017)
Fulfils the theorem.
On the other hand, we have the other measures
Don:
![3+5 > 12\\8 > 12](https://tex.z-dn.net/?f=3%2B5%20%3E%2012%5C%5C8%20%3E%2012)
Which is false.
Margo:
![6+8>14\\14>14](https://tex.z-dn.net/?f=6%2B8%3E14%5C%5C14%3E14)
Which is also false.
Liam
![16+8>27\\24>17](https://tex.z-dn.net/?f=16%2B8%3E27%5C%5C24%3E17)
False again.
Therefore the right answer is Sonji.