Julie bought a rectangular pencil holder which has a base of 6 cm by 8 cm from a school supply store. She wanted to know the height of the pencil holder but did not have a ruler. Julie placed a 12 cm long pencil inside the holder diagonally from corner B to corner H in the diagram, and it fit perfectly in the holder. First, select the expression that could be used to find the height of the pencil holder, h.
Then, select the approximate height of the pencil holder.