The perimeter of the triangle JMP is how many inches ?

Question

asked Jan 21, 2023 57.7k views

1 Answer

Keloo · Answer 1 · 2023-01-28T04:42:56+0000

Since the triangles are similar that means that:

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.