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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

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 A class=

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ramirezy018

Answer:

A

Step-by-step explanation:

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

aakik2011

Answer:

Its B

Step-by-step explanation:

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

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