Question

What is the value of x? a 1/2 2 3 4 1/2

Answer 1

Assuming that the triangles shown in the picture are similar triangles, then the ratios of corresponding sides are the same. Then:

`\begin{gathered} (x)/(9)=(2)/(4) \\ \Rightarrow x=(2)/(4)*9 \\ \Rightarrow x=(9)/(2) \\ \Rightarrow x=4.5 \\ \Rightarrow x=4+(1)/(2) \\ \Rightarrow x=4(1)/(2) \end{gathered}`

Therefore, the value of x is:

`4(1)/(2)`