for the triangles to be similar by the sss similarity theorem, what must be the value of y?\n18\n20\n24\n26

Explanation:

Step1: Identify corresponding sides

For SSS similarity, the ratios of corresponding sides are equal. Let's assume $\triangle ABC$ and $\triangle PQR$ are the two triangles. The ratio of the first - pair of corresponding sides is $\frac{28}{14}=2$.

Step2: Find the value of $y$

Since the ratio of corresponding sides must be the same for all sides, and the side of length 10 in $\triangle ABC$ corresponds to the side of length $y$ in $\triangle PQR$. Using the ratio 2, we have $y = 2\times10$.

Answer:

20