Use the Pythagorean theorem to find the length a in the
Chapter 1, Problem 27(choose chapter or problem)
Use the Pythagorean theorem to find the length a in the figure. Then find b, c, d, e, f, and g. Note: This figure provides a geometric construction for the irrational numbers . . . , where n is a nonsquare natural number. According to Boyers A History of Mathematics, 2nd ed. (New York: John Wiley & Sons, Inc., 1991), Plato . . . says that his teacher Theodorus of Cyrene . . . was the first to prove the irrationality of the square roots of the nonsquare integers from 3 to 17, inclusive. It is not known how he did this, nor why he stopped with One plausible reason for Theodoruss stopping with may have to do with the figure shown here. Theodorus may have known that the figure begins to overlap itself at the stage where would be constructed.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer