## DJ3strella one year ago Help me please

1. DJ3strella

2. DJ3strella

@Michele_Laino do u think u can help me out?

3. Michele_Laino

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

4. Michele_Laino

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

5. Michele_Laino

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

6. Michele_Laino

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

7. Michele_Laino

what is the right option?