If sides of a triangle have lengths 8 ft and 12 ft.

Step-by-step explanation:

Given

Required

The third side

To do this, we make use of the triangle inequality theorem which implies that:

Where

So, we have:

Solve all inequalities

Ignore negative inequalities.

So, we have:

and

Combine

The above implies that the third length is between 5 and 19 (inclusive)

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