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

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1 answer

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