1. The problem states that Maria has an original triangle with side lengths 6 inches, 8 inches, and 10 inches. 2. The teacher suggests drawing a similar triangle with a scale factor of 2:1, meaning the new triangle's sides will be twice as long as the original. 3. The formula for the side lengths of a similar triangle is: $$\text{new side length} = \text{scale factor} \times \text{original side length}$$ 4. Applying the scale factor 2 to each side: - New side 1: $$2 \times 6 = 12$$ inches - New side 2: $$2 \times 8 = 16$$ inches - New side 3: $$2 \times 10 = 20$$ inches 5. Therefore, the side lengths of the new triangle Maria draws will be 12 inches, 16 inches, and 20 inches.