D. USE THE TRIANGLE INEQUALITY, WHICH STATES THAT THE SUM OF THE TW...

3. d. Use the triangle inequality, which states that the sum of the two smaller sides of a triangle must begreater than the measure of the third side. By adding the two known sides of 10 + 14 24, this gives amaximum value of 23 for the third side because the side must be an integer. Since the perimeter of apolygon is the sum of its sides, the maximum perimeter must be 10 + 14 + 23 47.

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