Creation of this problem was inspired by [url=https://www.openmiddle.com/law-of-cosines-triangle/]this OpenMiddle problem[/url] posted by Erik Lee. [br]It's not the same problem, but rather a spin-off. [br][br]In the triangle below, you can move the [b][color=#ff00ff]LARGE POINTS[/color][/b] to adjust its side lengths. [br][list][*]The [b][color=#ff00ff]LARGE POINTS[/color][/b] on the left control the length of the left side. [/*][*]The [b][color=#ff00ff]LARGE POINTS[/color][/b] on the right control the length of the right side. [/*][*]The [b][color=#ff00ff]LARGE POINTS[/color][/b] on the bottom control the length of the bottom side. [/*][/list]