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In triangle A B C ABC ABC, ∠ B = 9 0 ∘ , B E = 3 , \angle B = 90 ^ \circ, BE = 3, ∠B=90∘,BE=3,and B D = 4 BD = 4 BD=4.
If A E = E D = D C AE = ED = DC AE=ED=DC, then the value of A C AC ACcan be expressed as a b a \sqrt{b} ab , where a a aand b b bare positive integers and b b bis square-free.
Find a + b a+b a+b.
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