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14 votes
14 votes
Plsssss help me i dont understand geometry at ALL :')FG || HJ. Find HI.

Plsssss help me i dont understand geometry at ALL :')FG || HJ. Find HI.-example-1
User Sahar Menashe
by
2.8k points

1 Answer

14 votes
14 votes

Triangle JIH is similar to triangle FIG

Hence the ratio of their corresponding sides are equal

Therefore,


\begin{gathered} (32+HI)/(HI)=(21)/(7)=3 \\ \Rightarrow\text{ 3HI=HI+32} \\ \Rightarrow3HI-HI=32 \\ 2HI=32 \\ \Rightarrow HI=16 \end{gathered}

User Shane Holloway
by
3.0k points
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