answer-to-the-question-number-197017-AF-FI-amp-AG-GJ-FG-1-2-IJ-1-6-BC-FGH-is-squilatral-FGH-ABC-S-FGH-S-SBC-1-36-

Question Number 197287 by MM42 last updated on 13/Sep/23

answer to the question number 197017 AF=FI & AG=GJ⇒FG=(1/2)IJ=(1/6)BC △FGH is squilatral ⇒ △FGH≈△ABC ⇒(S_(FGH) /S_(SBC) ) =(1/(36 )) ✓

$${answer}\:{to}\:{the}\:{question}\:{number} \\ $$$$\mathrm{197017} \\ $$$${AF}={FI}\:\&\:\:{AG}={GJ}\Rightarrow{FG}=\frac{\mathrm{1}}{\mathrm{2}}{IJ}=\frac{\mathrm{1}}{\mathrm{6}}{BC} \\ $$$$\bigtriangleup{FGH}\:\:{is}\:\:{squilatral}\:\Rightarrow\:\bigtriangleup{FGH}\approx\bigtriangleup{ABC} \\ $$$$\Rightarrow\frac{{S}_{{FGH}} }{{S}_{{SBC}} }\:=\frac{\mathrm{1}}{\mathrm{36}\:}\:\checkmark \\ $$$$ \\ $$

Commented by MM42 last updated on 12/Sep/23