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

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

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

Answer

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)