Question

OnInstructions: The polygons in each pair are similar. Find themissing side length.AL?401815

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the similarity ratio

Since the given triangles are similar, this means that we can express the corresponding sides as a ratio of one another. This is given as:

Let the required length be y

`(y)/(40)=(18)/(15)`

STEP 2: solve for y

By cross multiplication,

`\begin{gathered} y*15=40*18 \\ 15y=720 \\ y=(720)/(15)=48 \end{gathered}`

Hence, the missing side length is 48