Question Number 187721 by Mingma last updated on 20/Feb/23
Answered by mr W last updated on 21/Feb/23
Commented by mr W last updated on 21/Feb/23
$${due}\:{to}\:{similarity}\:{of}\:{triangles}: \\ $$$$\frac{{a}}{{d}}=\frac{{u}}{{y}} \\ $$$${similarly} \\ $$$$\frac{{e}}{{b}}=\frac{{w}}{{u}} \\ $$$$\frac{{c}}{{f}}=\frac{{y}}{{w}} \\ $$$$\Rightarrow\frac{{a}}{{d}}×\frac{{e}}{{b}}×\frac{{c}}{{f}}=\frac{{u}}{{y}}×\frac{{w}}{{u}}×\frac{{y}}{{w}}=\mathrm{1} \\ $$$$\Rightarrow\frac{{ace}}{{bdf}}=\mathrm{1} \\ $$$$\Rightarrow{ace}={bdf}\:\checkmark \\ $$
Commented by Rupesh123 last updated on 21/Feb/23
Nice work, bro!