Question

I need reassurance my answer is 5, but I'm not too sure yet because 1/5 is an option. how do I tell the difference and how how I know?

Answer 1

Let's begin by listing out the given information:

Triangle ABC is similar to Triangle XYZ. However, Triangle ABC is larger than Triangle XYZ

We will see the ratio by comparing the corresponding sides of both triangles. We have:

`\begin{gathered} (|AB|)/(|XY|)=(|AC|)/(|XZ|)=(|BC|)/(|YZ|) \\ \Rightarrow(45)/(9)=(35)/(7)=(60)/(12)=5 \\ \Rightarrow Triangle\text{ }ABC=5times\text{ }Triangle\text{ }XYZ \end{gathered}`

From Triangle ABC to Triangle XYZ, observe that the size of the Triangle XYZ is smaller. That shows us that Triangle XYZ is one-fifth of Triangle ABC

Hence, the correct answer is 1/5 (option D)