Triangle $$A B C$$ is shown. ![](http://admin.getprephub.com/media/editor/r6_20230225230051059398.png) Triangle $$A^{/} B^{/} C^{/}$$is created by dilating triangle $$A B C$$ by a scale factor of 4 . What is the length of $$\overline{A^{\prime} B^{\prime}}$$ ?

The co-ordinates of $$A$$ and $$B$$ be $$(1,4)$$ and $$(4,8)$$ respectively. The distance $$A B=\sqrt{(4-1)^{2}+(8-4)^{2}}=\sqrt{3^{2}+4^{2}}=5$$ unit Since, triangle $$A^{/} B^{/} C^{/}$$is created by dilating triangle $$A B C$$ by a scale factor of $$4$$ $$A^{\prime} B^{\prime}=4 A B=20$$ unit

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Triangle $A B C$ is shown.

Triangle $A^{/} B^{/} C^{/}$ is created by dilating triangle $A B C$ by a scale factor of 4 .

What is the length of $\overline{A^{\prime} B^{\prime}}$ ?

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