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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.

The diagram shows 28 lattice points, each one unit from its nearest neighbors. Segment-example-1
User AshK
by
7.2k points

2 Answers

5 votes

Answer:


(5√(5))/(3)

Explanation:

Extend 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) which can be simplified to
(5√(5))/(3).

Hope this helped! :)

User CyberHawk
by
7.6k points
5 votes

Answer:


(5√(5) )/(3)

User Kirschi
by
8.0k points
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