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Trastle · Answer 1 · 2019-11-26T04:17:35+0000

We will use the principle of the similar triangles.

Triangle ABC was dilated and rotated to form triangle DEC
So, the triangle ABC is similar to triangle DEC

∴
(AB)/(DE)= (BC)/(EC) = (AC)/(DC) = constant = m

(AB)/(DE)= (BC)/(EC) = (AC)/(DC) = constant = m

BC = 8 and EC = 5 ⇒⇒⇒ So,
m=(8)/(5)

∴
$AC = m * DC = (8)/(5)*6 = \framebox{9.6}$

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