Question

Triangle ABC was dilated and rotated to form triangle DEC. What is the length of side AC? (Figures not drawn to scale)

Answer 1

answer is 9.6

Explanation:

Answer 2

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`

BC = 8 and EC = 5 ⇒⇒⇒ So,
`m=(8)/(5)`

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