1967 AHSME Problems/Problem 32

Problem

In quadrilateral $ABCD$ with diagonals $\overline{AC}$ and $\overline{BD}$ intersecting at $O$ , $\overline{BO}=4$ , $\overline{AO}=8$ , $\overline{OC}=3$ , and $\overline{AB}=6$ . The length of $\overline{AD}$ is:

$\textbf{(A)}\ 9\qquad \textbf{(B)}\ 10\qquad \textbf{(C)}\ 6\sqrt{3}\qquad \textbf{(D)}\ 8\sqrt{2}\qquad \textbf{(E)}\ \sqrt{166}$

Solution

$\fbox{E}$

1967 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 31	Followed by Problem 33
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1967 AHSME Problems/Problem 32

Problem

Solution

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