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mandilynn22
mandilynn22
19.10.2020 • 
Mathematics

$D$ is on side $\overline {AB}$ of $\triangle ABC.$ We know $\triangle ABC \sim \triangle ACD$ and we know all the marked side lengths. [asy] size(5cm); pair A,B,C,D; A=(0,0); B=(4,0); C=2*dir(48); D=foot(C,A,B) + (-0.3,0); draw(C--A--B--C--D); label("$A$",A,SW); label("$B$",B,SE); label("$C$",C,N); label("$D$",D,S); label("$3$", A--D, S); label("$6$", A--C, W); [/asy] What is the length $AB?$

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