4.4 The – TheWorksheets.CoM – Page 2

4.4 The Pythagorean Theorem and the Distance Formula

A Pythagorean triple is a set of three positive integers a, b, and c that satisfy the equation c2 5 a2 1 b2. For example, the integers 3, 4, and 5 form a Pythagorean triple because 5 2 5 32 1 42. Find the length of the hypotenuse of the right triangle. Tell whether the side lengths form a Pythagorean triple. Solution (hypotenuse)2 5 (leg)2 1 ...