11,520 views
3 votes
3 votes
Quadrilateral BCDE is similar to quadrilateral FGHI. Find the measure of side HI. Round your answer to the nearest tenth if necessary

User Juanagui
by
2.6k points

1 Answer

18 votes
18 votes

we have:


(HI)/(DE)=(IF)/(EB)

so


\begin{gathered} (HI)/(23)=(59)/(14) \\ 14HI=59\cdot23 \\ 14\cdot HI=1357 \\ HI=(1357)/(14) \\ HI=96.9 \end{gathered}

answer: HI = 96.9

User MandyShaw
by
2.8k points