Final answer:
The perimeter of a triangle with sides measuring 6 inches, 7 inches, and 9 inches is best represented in centimeters by Option B, as each side length is precisely converted from inches to centimeters using the conversion factor of 2.54 cm per inch, resulting in side lengths of 15.24 cm, 17.78 cm, and 22.86 cm.
Step-by-step explanation:
The question asks us to find the perimeter of a triangle with sides measuring 6 inches, 7 inches, and 9 inches in centimeters. To convert these measurements, we use the conversion factor where 1 inch is equivalent to 2.54 centimeters. We need to multiply each side length in inches by 2.54 to get the length in centimeters.
For the conversion, we have:
- 6 inches × 2.54 cm/inch = 15.24 cm
- 7 inches × 2.54 cm/inch = 17.78 cm
- 9 inches × 2.54 cm/inch = 22.86 cm
Thus, adding these individual side lengths will give us the total perimeter in centimeters:
15.24 cm + 17.78 cm + 22.86 cm = 55.88 cm
Option B most accurately represents the converted side lengths of the triangle to centimeters. While Option C presents numbers that are close to those in Option B, it is important to use precise figures in mathematical conversion, and the rounding in Option C is not precise enough. Therefore, Option B is the correct answer to this question.