the answer is 38
FG is 5. so BG is 5,too
FE = 26. so BC =26
now we should find AB with Pythagorean theorem:
[tex] {5}^{2} + x {}^{2} = 13 {}^{2} \\ {x}^{2} = {13}^{2} - {5}^{2} \\ {x}^{2} = 169 - 25 = 144 [/tex]
[tex]x = \sqrt{144} = 12[/tex]
AB is 12
BC is 26
so AC is 12+26=38
good luck
