Question

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

Answer 1

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

`(BC)/(B^(\prime)C)=(AC)/(A^(\prime)C)=(AB)/(A^(\prime)B^(\prime))`

Replacing with data:

`\begin{gathered} (9)/(6)=(12)/(A^(\prime)B^(\prime)) \\ 9\cdot A^(\prime)B^(\prime)=12\cdot6 \\ A^(\prime)B^(\prime)=(72)/(9) \\ A^(\prime)B^(\prime)=8 \end{gathered}`