Question

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

Answer 1

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

$\frac{XY}{AB}=\frac{YZ}{BC}$

Substituting with data:

$\begin{gathered} \frac{40\text{ ft}}{10\text{ ft}}=\frac{YZ}{10\text{ ft}} \\ 40\cdot10=YZ\cdot10 \\ \frac{400}{10}=YZ \\ 40\text{ ft = YZ} \end{gathered}$