The diagonal of a rectangle is 13 inches. The length of the rectangle is 7 inches longer than its width. How do you find the length and width of the rectangle?
Let's call the width
The diagonal is the hypotenuse of a rectangular triangle.
A simple quadratic equation resolving into:
Only the positive solution is useable so:
The (5,12,13) triangle is the second-simplest Pythagorean triangle (where all sides are whole numbers). The simplest is (3,4,5). Multiples likes (6,8,10) don't count.