Question

triangle AMY ~ MEG , AM = 5 MY=7 AY =3. MEG IS A DILATION of AMY by a scale facyor of 1/3. fimd the perimeter of MEG.

Answer 1

7

Step-by-step explanation:

From the question, we're told that triangles AMY and MEG are similar. If triangle AMY has sides AM = 5, MY = 7, and AY = 3 then we can find the side lengths of triangle MEG since we're told from the question that it is a dilation of AMY by a scale factor of 1/3.

So all we need to is multiply the corresponding sides of AMY by 1/3, so we'll have;

`\begin{gathered} ME=5\ast(1)/(3)=(5)/(3) \\ EG=7\ast(1)/(3)=(7)/(3) \\ MG=3\ast(1)/(3)=3 \end{gathered}`

We can then go ahead and find the perimeter of MEG. Note that to find the perimeter of a triangle, we add all the length of its sides;

`\begin{gathered} \text{Perimeter of MEG}=(5)/(3)+(7)/(3)+3 \\ =(5+7+9)/(3) \\ =(21)/(3) \\ =7 \end{gathered}`

The perimeter of MEG is 7.