Determine the value of a.

https://latex.artofproblemsolving.com/0/9/0/090ba6228af39380edfafa9908b8a3dd14b7a383.png is the picture

polyyou Jun 18, 2020

#2**+7 **

It is black not blank

and I know the asymptote([asy]

pair f=(0,sqrt(3)); pair l=(2,sqrt(3)); pair a=(2,0); pair x=(0,0);

pair z=(f+l)/2;

dot(f); dot(l); dot(a); dot(x); dot(z);

draw(x--f--l--a--x--z--a);

draw(rightanglemark(x,f,l,5));

draw(rightanglemark(f,l,a,5));

draw(rightanglemark(l,a,x,5));

draw(rightanglemark(a,x,f,5));

label("$F$",f,NW);

label("$Z$",z,N);

label("$L$",l,NE);

label("$A$",a,SE);

label("$X$",x,SW);

[/asy])

is the asymptote.

polyyou Jun 18, 2020