Discussion

The lengths of two sides of a triangle are 8 cm and 11 cm. The length of the third side must be:

Answer: C

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let the third side be x.

x + 8 > 11 => x > 3

8 + 11 > x => 19 > x

So, the length of the third side must be between 3 cm and 19 cm.

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