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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.

Which student chose pieces that can be used to construct a triangle?

a. Don
b. Margo
c. Sonji
d. Liam

Respuesta :

your answer would be sonji's

Answer:

C. Sonji

Step-by-step explanation:

Since, a triangle is possible if the sum of any two sides is greater than third side,

The measure of Don’s wires,

3 inches, 5 inches and 12 inches

Since, 3 + 5 < 12  

Thus, by the above statement we can not make a triangle with The measure of Don’s wires.

The measures of Margo's wires,

6 inches, 8 inches and 14 inches,

Since, 6 + 8 = 14,

⇒ we can not make a triangle with The measure of Margo's wires.

The measures of Sonji's wires,

12 inches, 8 inches, and 17 inches,

12 + 8 > 17,

8 + 17 > 12

12 + 17 > 8

⇒ we can make a triangle with the measure of Sonji's wires.

The measures of Liam’s wires,

16 inches, 8 inches, and 27 inches

16 + 8 < 27

⇒ we can not make a triangle with The measure of Liam’s wires.

Hence, option 'C' is correct.

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