AB^2 + BC^2 = AC^2
AB^2 + 6^2 = square root 117^2
AB^2 + 36 = 117
Now subtract 117 from both sides
AB^2 = 81
AB = square root 81 = 9

Therefore AB is 9 cms.
Original price of the swimsuit = x
If something was discounted 65%, that means you are paying 35% for it.
(100% - 65% = 35% or 0.35)
x(0.35) = 20.30
divide both sides by 0.35
x = 58
The swimsuit was originally 58 dollars.
It seems like this answer is incomplete, please ask again with a complete question.
Is there any picture that we can work with??