Question

PLEASE ANSWER QUICKLY

The diagram shows 28 lattice points, each one unit from its nearest neighbors. Segment AB meets segment CD at E. Find the length of segment AE

Answer 1

A

Explanation:

I think it's A, I not really sure. sorry I couldn't be more of help.

Answer 2

Its B

Explanation:

`Extend $\overline{DC}$ to $F$. Triangle $FAE$ and $DBE$ are similar with ratio $5:4$. Thus $AE=(5AB)/(9)$, $AB=√(3^2+6^2)=√(45)=3√(5)$, and $AE=(5(3√(5)))/(9)=\boxed{(5√(5))/(3)}$.\\`