Side-Side-Side Triangle Construction. Use the Pythagorean Theorem to prove that if a, b, and c are..

Side-Side-Side Triangle Construction. Use the Pythagorean Theorem to prove that if a, b, and c are three positive numbers such that each one is less than the sum of the other two, then there exists a triangle whose sides have lengths a, b, and c. (This result will be proved for neutral geometry in Chapter 8.)