# Triangle A has sides of lengths 36 ,24 , and 16 . Triangle B is similar to triangle A and has a side of length 7 . What are the possible lengths of the other two sides of triangle B?

Sides $=$
$\textcolor{w h i t e}{\text{XXX}} \left\{7 , \frac{14}{3} , \frac{28}{9}\right\}$ or
$\textcolor{w h i t e}{\text{XXX}} \left\{\frac{21}{2} , 7 , \frac{14}{3}\right\}$ or
$\textcolor{w h i t e}{\text{XXX}} \left\{\frac{63}{4} , \frac{21}{2} , 7\right\}$
{: ("Triangle A","||","Side P","|","Side Q","|","Side R"), (,"||",36,"|",24,"|",16), ("Triangle B",,,,,,), (,"||",7,"|",7/36xx24=14/3,"|",7/36xx16=28/9), (,"||",7/24xx36=21/2,"|",7,"|",7/24xx16=14/3), (,"||",7/16xx36=63/4,"|",7/16xx24=21/2,"|",7) :}