Two sides of a right triangle measure 10 m and 8 m. Explain why this is not enough information to be sure of the length of the third side. Give two possible values for the length of the third side.

We don't know which one is the hypotenuse. So if we were to plug it into the Pythagorean theorem, we wouldn't know where to put it. Two possible answers:

8 squared (copy pasting the symbol here is an inconvenience) + b squared = 10 squared which is 6m after solving.

Or you could say 8 squared + 10 squared = c squared. Solving for C would get us 12.8m as our second possibility.