Please I need help I’m stuck

Answer:
this is tricky b/c they are making the two triangles of different scales but of the same angles.... soooo one is just a bigger copy of the other....
Step-by-step explanation:
Since this is a relation of the two side of each.. we can say the following...
[tex]\frac{6}{9}[/tex] = [tex]\frac{4}{x}[/tex] where X = side LA soooo solve for X
x * [tex]\frac{6}{9}[/tex] = 4 (move the X , to the other side of the '=' sign
x = 4 * [tex]\frac{9}{6}[/tex] ( yes.. we want to invert the fraction to move it to the other side )
x = [tex]\frac{36}{6}[/tex]
x = 6
so side LA is 6 :)