Question

StatusRecovery8Help ResourcessAABC ~ AXYZFind the missing side length, s.B.3 65А&Х-ZCross multiplySE ][?] = [ ]153s

Answer 1

Since triangles ABC and XYZ are similar, the ratio between their corresponding sides is constant; thus,

`\begin{gathered} (AB)/(XY)=(BC)/(YZ) \\ \Rightarrow(3)/(5)=(6)/(s) \end{gathered}`

Solving for s,

`\begin{gathered} (3)/(5)=(6)/(s) \\ \Rightarrow(3)/(5)\cdot s=(6)/(s)\cdot s \\ \Rightarrow(3s)/(5)=6 \\ \Rightarrow(3s)/(5)\cdot5=6\cdot5 \\ \Rightarrow3s=30 \\ \Rightarrow s=(30)/(3) \\ \Rightarrow s=10 \end{gathered}`

Thus, the result of the cross multiplication is 3s=30 and the answer is s=10