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 scale factor

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

Step2: Calculate the value of \(y\)

Since the triangles are similar by SSS (Side - Side - Side) similarity theorem, the ratio of all corresponding sides is the same.
For the sides \(CB = 10\) and \(RQ=y\), using the scale factor \(k = 2\).
We know that \(\frac{RQ}{CB}=2\), so \(y=2\times10\)

Answer:

\(20\)