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Dafna11 [192]
9 months ago
12

If AB is 12, what is the length of A'B'?

Mathematics
1 answer:
lukranit [14]9 months ago
7 0

Triangles ABC and A'B'C are similar. This means that the corresponding sides are in the same ratio, in this case:

\frac{BC}{B^{\prime}C}=\frac{AC}{A^{\prime}C}=\frac{AB}{A^{\prime}B^{\prime}}

Replacing with data:

\begin{gathered} \frac{9}{6}=\frac{12}{A^{\prime}B^{\prime}} \\ 9\cdot A^{\prime}B^{\prime}=12\cdot6 \\ A^{\prime}B^{\prime}=\frac{72}{9} \\ A^{\prime}B^{\prime}=8 \end{gathered}

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