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Given right triangle ABCABC with altitude \overline{BD}BD drawn to hypotenuse \overline{AC}AC. If AB=2AB=2 and AC=4,AC=4, what is the length of \overline{AD}?AD?

 May 8, 2021
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Given right triangle ABC with altitude\( \overline{BD}\) drawn to hypotenuse \(\overline{AC}\).
If \(\overline{AB}=2\) and \(\overline{AC}=4\),
what is the length of \(\overline{AD}\)?

 

\(\begin{array}{|rcll|} \hline \overline{AB}^2 &=& \overline{AD}\times \overline{AC} \\ 2^2 &=&\overline{AD}\times 4 \\ 4 &=&\overline{AD}\times 4 \\ \mathbf{\overline{AD}} &=& \mathbf{1} \\ \hline \end{array}\)

 

laugh

 May 8, 2021

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