Question

for the triangles to be similar by the sss similarity theorem, what must be the value of y? 18 20 24 26

Explanation:

Step1: Find the similarity ratio

The ratio of the corresponding sides \(AC = 14\) and \(PR=28\) is \(\frac{28}{14}=2\).

Step2: Calculate the value of \(y\)

Since the triangles are similar by SSS similarity theorem, the ratio of other corresponding sides should also be \(2\).
For side \(AB = 10\) and \(PQ=y\), we have \(\frac{y}{10}=2\).
So \(y = 10\times2=20\).

Answer:

\(20\) (the second option)