D x2 - x12 y2 - y12 Let us find the lengths AB BC and AC using the above distance formula. We already have 51 that is not located on the line y 3x 2. When working on a coordinate plane you can always find the distance between two points or the length of a line segment by creating a right triangle and using the Pythagorean Theorem.
A2 b2 c2 a2 b2 c2 where.
Scrub the values of A and B coordinates to see how they connect to terms in the final distance formula. Then use the distance formula to calculate the length of the segment. To derive the distance between two points A and B we imagine a third point C that forms a right triangle and then use the Pythagorean Theorem. For example suppose you want to find the length of.