The Triangle Inequality says that the sum of the lengths of any two sides must be greater than the length of the third side. That means $8+8=16$ must be greater than the length of the third side. The third side has a whole number length, so the greatest possible length is 15 units. That makes the perimeter $8+8+15=\boxed{31}$ units.
Question:
Two sides of a triangle are each $8$ units long. If the third side has a whole number length, what is the greatest possible perimeter, in units, for the triangle?
Answer:
Let's think step by step.

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Two sides of a triangle are each $8$ units long. If the third side has a whole number length, what is the greatest possible perimeter, in units, for the triangle?
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