Question

For a craft project, four students each chose three pieces of wire from a box. Don's wires measure 3 inches, 5 inches, and 12 inches. Margo's wires measure 6 inches, 8 inches, and 14 inches. Sonji's wires measure 12 inches, 8 inches, and 17 inches. Liam's wires measure 16 inches, 8 inches, and 27 inches.

Answer 1

Answer:

Sonji's wires measure will be chosen

Step-by-step explanation:

Given:

Don's wires measure = 3 inches, 5 inches, and 12 inches

Margo's wires measure = 6 inches, 8 inches, and 14 inches

Sonji's wires measure = 12 inches, 8 inches, and 17 inches

Liam's wires measure = 16 inches, 8 inches, and 27 inches.

Find:

Measure used to construct a triangle

Computation:

In a triangle sum of two smaller side is grater then bigger side

a + b > c

So.

Don's wires measure = 3 inches + 5 inches < 12 inches

Margo's wires measure = 6 inches + 8 inches = 14 inches

Sonji's wires measure = 12 inches + 8 inches > 17 inches

Liam's wires measure = 16 inches + 8 inches < 27 inches.

So,

Sonji's wires measure will be chosen