Calculus--Pythagorean Theorem

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Use the Pythaogorean Theorem to determine the exact length of AB.

Express the answer as A) an exact value in simplest mixed radical form
B) A decimal to the nearest hundredth

The picture is right here, I uploaded it of the diagram.

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  • Calculus--Pythagorean Theorem -

    In ∆ADC
    AD^2 + 8^2 = 12^2
    AD^2 = 80

    in ∆ABD
    BD^2 + AD^2 = AB^2
    36 + 80 = AB^2
    AB = √116 or 2√29

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