Question

For a craft project, four students each chose three pieces of wire from a box.

Answer 1

Answer:

Sonji

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

$a+b>c$

So, if we apply this triangular inequality to each case, we would find that Sonji's wires can make a triangle, because

$12+8 > 17\\20 > 17$

Fulfils the theorem.

On the other hand, we have the other measures

Don:

$3+5 > 12\\8 > 12$

Which is false.

Margo:

$6+8>14\\14>14$

Which is also false.

Liam

$16+8>27\\24>17$

False again.

Therefore the right answer is Sonji.

Answer 2

Margos is correct I believe