Question

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

Answer 1

Triangle JIH is similar to triangle FIG

Hence the ratio of their corresponding sides are equal

Therefore,

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