The 2004 Hyundai Santa Fe's starter relay is located in the interior fuse panel of Your vehicle. If You look to the left of Your steering wheel, just above the brake, You'll see a small latch in the console of the dash. Pull on that to expose the fuse box. You'll have a diagram on the top cover showing You the specific location: It's labeled START, and is A7.5 amp fuse. If You're sure the battery's fine, but Your Santa Fe isn't cranking, this is the next thing You should look at, before Your start suspecting the starter itself or other components under the hood. If the relay is blown, replacing is as simple as buying the replacement (typically under $5), pulling the old one, and inserting the new.
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