Question

Help me please

Answer 1

@Michele_Laino do u think u can help me out?

Answer 2

we have this ratio:
\[\frac{{AE}}{{AR}} = \frac{{15}}{{12}} = \frac{5}{4}\]

Answer 3

or:
\[\frac{{AR}}{{AE}} = \frac{{12}}{{15}} = \frac{4}{5}\]

Answer 4

now, we can show that the requested ratio is given by the square of the last ratio, namely:
\[\frac{{area\left( {\vartriangle ARH} \right)}}{{area\left( {\vartriangle ARS} \right)}} = {\left( {\frac{{AR}}{{AE}}} \right)^2} = ...?\]

Answer 5

oops..
\[\frac{{area\left( {\vartriangle ARH} \right)}}{{area\left( {\vartriangle AES} \right)}} = {\left( {\frac{{AR}}{{AE}}} \right)^2} = ...?\]

Answer 6

what is the right option?