Final answer:
To find the length of GH when FG is 8 and FH is 34, subtract FG from FH, resulting in GH being 26 units long. Similarly, when FG is 9 and GH is 17, add them together to find FH, which is also 26 units long.
Step-by-step explanation:
We need to find the lengths GH and FH given the lengths of FG and FH in two different situations. In the first situation, FG is 8 and FH is 34. To find GH, we can subtract the length of FG from FH:
FH = FG + GH
GH = FH - FG
GH = 34 - 8
GH = 26
So, GH is 26 units long.
In the second situation, FG is 9 and GH is 17. To find FH, we simply add the lengths of FG and GH:
FH = FG + GH
FH = 9 + 17
FH = 26
Therefore, FH is 26 units long in the second situation.