[tex] \begin{aligned} AB^2 &= CD^2 +(AC+BD)^2 \\ &= 16^2+(8+4)^2 \\ &= 256+12^2 \\ &= 256+144 \\ &= 400 \\ AB &= \sqrt{400} \\ &= 20\end{aligned} [/tex]
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[tex] \begin{aligned} AB^2 &= CD^2 +(AC+BD)^2 \\ &= 16^2+(8+4)^2 \\ &= 256+12^2 \\ &= 256+144 \\ &= 400 \\ AB &= \sqrt{400} \\ &= 20\end{aligned} [/tex]