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If BC = 4 and CD = 27, find AC.
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If BC = 4 and CD = 27, find AC.

If BC = 4 and CD = 27, find AC.-example-1
User WebArtisan
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4 votes

31 is the answer I think..

User Janisse
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\Delta ABC\sim\Delta DAC\\\\then\\\\(|AC|)/(|BC|)=(|CD|)/(|AC|)\\\\|AC|^2=|BC|\cdot|CD|\\\\|AC|^2=4\cdot27\\\\|AC|=√(4\cdot27)\\\\|AC|=\sqrt4\cdot√(27)\\\\|AC|=2\cdot√(9\cdot3)\\\\|AC|=2\sqrt9\cdot\sqrt3\\\\|AC|=2\cdot3\sqrt3\\\\|AC|=6\sqrt3
User Oenotria
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