Answer:
The length of the resulting segment is 500.
Step-by-step explanation:
Vectorially speaking, the dilation is defined by following operation:
(1)
Where:
- Center of dilation.
- Original point.
- Scale factor.
- Dilated point.
First, we proceed to determine the coordinates of the dilated segment:
(, , , )
Then, the length of the resulting segment is determined by following Pythagorean identity:
54.5*17=926.5
62416-926.5=61489.5
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