Length of segment JI is: C. 21.
Recall:
A perpendicular bisector is a segment that divides a segment into equal halves.
Thus:
JH divides GI into GH and HI
Therefore:
[tex]GH = HI = 15[/tex]
Also, since JH in right triangle JHG = JH in right triangle JHI, therefore:
the third side, GJ in right triangle JHG, will equal the third side, JI in right triangle JHI.
GJ = JI = 21
Therefore, JI is 21.
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