Since it is a 2010, my guess is the tires are original. If so, I highly suggest, regardless of how they look, that you replace all six of them before you do any traveling.
You can check the D.O.T. date code to determine their age. Usually a code on the tire like xx xx where the first two digits represent the week of the year of manufacture and the last two the year.
Yeah, we had the tires replaced when we got it. It only had 18,000 miles when it was purchased, but there was some dry rotting going on so we made them replace the tires. We have it at a local RV mechanic right now, having it checked over before our trip. He said everything looks great.
Great. Good to know you didn't fall for the salesman's "tires got plenty of tread on them".
When I was looking, and I've been rving since 1971, the salesman would cringe when they opened the door to show the interior but I was still outside crawling around on the ground inspecting tires and their date codes, looking for any signs of blow out damage and generally inspecting the undercarriage.
I work in the automotive industry, and I'm very familiar with how sales staff and dealerships operate. The RV had some alignment issues when we did the test drive and one of the front tires was wearing badly on the edge. The salesman tried to convince me that it didn't need all the tires. I convinced him otherwise Amazing what they will do when you abruptly get up from the negotiating table and start to walk out the door.