The required ratio that vrify the expression is 16/8 = 21/10.5
Similarity theorem of triangle
From the given diagram, triangle PQY is similar to triangle XYZ
Using the similarity theorem:
YP/YQ = YX/YZ
Given the parameters:
- YP = 16
- YQ = 8
- YX = 16 + 5 = 21
- YZ = 8 + 2.5 = 10.5
Substitute the values
16/8 = 21/10.5
Hence the required ratio that verify the expression is 16/8 = 21/10.5
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