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

Answer:

A

Step-by-step explanation:

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

Answer 2

Answer:

Its B

Step-by-step explanation:

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