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13 April, 00:08

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?

Don

Margo

Sonji

Liam

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Answers (2)
  1. 13 April, 01:02
    0
    Sonji's.

    The third important property of triangles is the triangle inequality rule, which states: the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.
  2. 13 April, 01:05
    0
    In order for the pieces to be used to construct a triangle, it must meet the condition:

    the sum of the lengths of the two legs must be greater than the length of the third length

    From the given lengths of the wire, the answer is:

    Sonji
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