To determine the length of the longest side of the triangle in Jordan's scale drawing, we first need to find the original longest side. The sides of the triangle are 6 cm, 5 cm, and 7 cm, so the longest side is 7 cm.
Next, we find the scale factor used in Jordan's scale drawing. The scale factor can be calculated by comparing the original length of the side that has been scaled with its new length:
\[ \text{Scale factor} = \frac{\text{New length}}{\text{Original length}} = \frac{24 \text{ cm}}{6 \text{ cm}} = 4 \]
Now, we will apply this scale factor to the original longest side of 7 cm:
\[ \text{Length of longest side in scale drawing} = \text{Original longest side} \times \text{Scale factor} = 7 \text{ cm} \times 4 = 28 \text{ cm} \]
However, this answer does not match with any of the options provided. Let's check if the options provided were considered:
- 1.75 centimeters
- 4 centimeters
- 20 centimeters
Since none of these options seem correct and considering standard methods for solving triangle problems, the correct calculation shows the longest side of the triangle in the drawing should indeed be \( 28 \text{ cm} \). If we were to form similar scaling responses based on available options or solve under different contexts, here's an approximation that involves checking the ratios of scaling against the longest sides dynamically.
Thus, the answer is none of the above or the closest remaining is 20 centimeters.
Please verify from the original context or calculation settings for specific mathematical directions as alternative scenarios were considered.