Use the Pythagorean theorem, [tex]c= \sqrt{a^{2} + b^{2} }[/tex], to answer this problem. Because Alice and Amy are diagonally opposite each other in two corners of the room, the shortest way Amy can reach Alice is to walk straight to her in a diagonal line. The length of this diagonal line is equal to [tex]\sqrt{100^{2} + 60^{2} }[/tex]. This length is equal to 117 ft.
