Question

Use the following triangles to answer the following. Assume ABC DEF (please help with A)

Answer 1

We have the following:

Since we consider that both triangles are similar, we have that AB measures the same as DE, therefore we can equate it

`\begin{gathered} AB=DE \\ 3x+6=4x \end{gathered}`

solving for x

`\begin{gathered} 4x-3x=6 \\ x=6 \end{gathered}`

Therefore AB:

`AB=3\cdot6+6=24`

The length of AB is 24