How to determine the lengths in a diagram using x
In analytical geometry
, lengths can be determined using the distance formula. The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) and (x2, y2) are the coordinates of two points on the diagram.
To determine the length of a specific segment in a diagram, you need to first identify the coordinates of the endpoints of that segment. Once you have the coordinates, substitute them into the distance formula to calculate the length of the segment.
For example, if you have two points A(2,3) and B(5,7) on a diagram, the length of segment AB can be found by substituting these coordinates into the distance formula:
d = √((5 - 2)^2 + (7 - 3)^2)
d = √(3^2 + 4^2)
d = √(9 + 16)
d = √25
d = 5
Therefore, the length of segment AB is 5 units.