To find the length of the longest side of the triangle in Jordan's scale drawing, we first need to determine the scale factor based on the change of the side measuring 6 cm to 24 cm.
The scale factor is calculated as follows: \[ \text{Scale Factor} = \frac{\text{New Length}}{\text{Original Length}} = \frac{24 \text{ cm}}{6 \text{ cm}} = 4 \]
Now, we will apply this scale factor to the longest side of the original triangle, which measures 7 cm.
Using the scale factor, the new length of the longest side becomes: \[ \text{New Length of Longest Side} = \text{Original Length} \times \text{Scale Factor} = 7 \text{ cm} \times 4 = 28 \text{ cm} \]
Therefore, in Jordan's scale drawing, the length of the longest side will be 28 centimeters.