Question

The perimeter of the triangle JMP is how many inches ?

Answer 1

Since the triangles are similar that means that:

`9=6x`

where x is the factor that tajes triangle GHK to triangle JMP. Solving for x we have:

`\begin{gathered} 9=6x \\ x=(9)/(6) \\ x=(3)/(2) \end{gathered}`

Now, we know that a similarity transformation takes the perimter to the original tirangle to the new one like:

`P^(\prime)=xP`

where P' is the perimeter of triangle JMP and P the perimeter of triangle GHK. Then:

`P^(\prime)=(3)/(2)\cdot39=58.5`

Therefore the perimter of triangle JMP is 58.5 inches.