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Point $X$ is on $\overline{AC}$ such that $AX = 3 CX = 12$. If $\angle ABC = \angle BXA = 90^\circ$, then what is $BX$?

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  • Point $X$ is on $\overline{AC}$ such that $AX = 3 CX = 12$. If $\angle ABC = \angle BXA = 90^\circ$, then what is $BX$?


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