Question

5. If ACDE~ AFGE, find the value of x. Show your work.2740E25DF

Answer 1

Given,

`\Delta CDE\approx\Delta\text{FGE}`

The ratio of corresponding sides of similar triangles are equal.

Hence,

`\begin{gathered} (FE)/(CE)=(GE)/(DE) \\ (x)/(27)=(40)/(25) \end{gathered}`
`\begin{gathered} x=(40)/(25)*27 \\ =43.2 \end{gathered}`

Therefore, the value of x is 43.2.