Question

May I please get help with this. I have tried multiple times to get the correct answer for this but still could not seem to get the right one.

Answer 1

42

Step-by-step explanation:

Recall that two triangles are said to be similar if their corresponding angles are congruent and their corresponding sides are in equal proportion.

Given that triangles ABC and XYZ are similar, to be able to determine missing side length, we have to set up proportions as seen below;

`\begin{gathered} (AB)/(XY)=(AC)/(XZ) \\ (30)/(5)=(AC)/(7) \end{gathered}`

Let's cross multiply;

`\begin{gathered} 5\cdot AC=30\cdot7 \\ 5AC=210 \end{gathered}`

Let's divide both sides of the equation by 5;

`\begin{gathered} (5AC)/(5)=(210)/(5) \\ AC=42 \end{gathered}`

So the missing side length is 42