Question

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

Answer 1

SOLUTION

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

$\frac{y}{40}=\frac{18}{15}$

STEP 2: solve for y

By cross multiplication,

$\begin{gathered} y\times15=40\times18 \\ 15y=720 \\ y=\frac{720}{15}=48 \end{gathered}$

Hence, the missing side length is 48