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Point X is on overline AC such that AX = 3 CX = 12. If angle ABC = angle BXA = 90 degrees, then what is BX?

waffles  Jul 28, 2017
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Point X is on overline AC such that AX = 3 CX = 12. If angle ABC = angle BXA = 90 degrees, then what is BX?

$$\begin{array}{|rcll|} \hline \overline{BX}^2 &=& \overline{AX}\cdot \overline{CX} \\ \overline{BX}^2 &=& 3\cdot 12 \\ \overline{BX}^2 &=& 36 \\ \mathbf{\overline{BX}} &\mathbf{=}& \mathbf{ 6 } \\ \hline \end{array}$$

heureka  Jul 28, 2017
edited by heureka  Jul 28, 2017

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