Discussion on Bangladesh Mathematical Olympiad (BdMO) National
In the following figures a rectangular piece of paper $ABCD$ has been folded several times. First, the side $CD$ was made to fall on the line $AD$. Point $E$ in figure $(ii)$ represents the point $C$ after folding. In the next figure the portion $BF$ was made to fall on $EF$. Lastly, the side $AG$ was made to fall on $GH$. Find the lengths of $GJ, IJ, IE, ED, EH$ and $HF$. It is given that$ AB = 8$ and $BC = 15$.