Answer :

[tex]|BC|=8.3;\ |CD|=6.7;\ |AD|=11.6\\\\|AC|^2+|CD|^2=|AD|^2\\\\|AC|^2+6.7^2=11.6^2\\\\|AC|^2=134.56-44.89\\\\|AC|^2=89.67\\---------------\\|AB|^2=|BC|^2+|AC|^2\\\\|AB|^2=8.3^2+89.67\\\\|AB|^2=68.89+89.67\\\\|AB|^2=158.56\\\\|AB|=\sqrt{158.56}\\\\|AB|\approx12.6[/tex]
shawndaleberry28

Answer: 12.6

Step-by-step explanation:

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