[list][*][math]3^2+b^2=5^2[/math][/*][*][math]b^2=5^2-3^2[/math][/*][*][math]3^2+5^2=b^2[/math][/*][*][math]3^2+4^2=5^2[/math][/*][/list]

[size=150]The spiral in the figure is made by starting with a right triangle with both legs measuring one unit each. Then a second right triangle is built with one leg measuring one unit, and the other leg being the hypotenuse of the first triangle. A third right triangle is built on the second triangle’s hypotenuse, again with the other leg measuring one unit, and so on.[br][/size][br]Find the length, [math]x[/math], of the hypotenuse of the last triangle constructed in the figure.