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

Sahar Menashe asked Mar 4, 2023

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Sahar Menashe asked Mar 4, 2023

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14 votes

Triangle JIH is similar to triangle FIG

Hence the ratio of their corresponding sides are equal

Therefore,

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

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