Question

In the figure, triangle RED is similar to triangle RSF what is the value of x, the length of side RS

Answer 1

Since the triangles are similar thie means that:

`(8)/(x)=(12)/(21)`

Solving for x we have:

`\begin{gathered} (8)/(x)=(12)/(21) \\ 8=(12)/(21)x \\ x=(8)/((12)/(21)) \\ x=(21\cdot8)/(12) \\ x=(168)/(12) \\ x=14 \end{gathered}`

Therefore x=14