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24 votes
24 votes
In this truss bridge, AABC~ AXYZ BASED ON THE GIVEN INFORMATION WHAT IS YZ??A.) 10 FTB.) 20 FTC.) 30 FTD.) 40 FT

User AdamSchuld
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1 Answer

13 votes
13 votes

Given that the triangles are similar, then their corresponding sides are in proportion, that is,


(XY)/(AB)=(YZ)/(BC)

Substituting with data:


\begin{gathered} \frac{40\text{ ft}}{10\text{ ft}}=\frac{YZ}{10\text{ ft}} \\ 40\cdot10=YZ\cdot10 \\ (400)/(10)=YZ \\ 40\text{ ft = YZ} \end{gathered}

User Venitia
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