The calculated length of the segment GI is 17 units
How to determine the length of the segment GI
From the question, we have the following parameters that can be used in our computation:
The figure
Where, we have
IH = 26
EI = 34
IF = 13
The chords FE and GH are intersecting chords
This means that
GI * IH = EI * IF
Substitute the known values into the equation
GI * 26 = 34 * 13
This gives
GI = 34 * 13/26
Evaluate
GI = 17
Hence, the length of the segment GI is 17 units