The perpendicular line from a point to a line is the shortest distance from the point to the line
With regards to the three points on the plane, point C is closer to point B
The reason point C is closer to point B is as follows:
The known parameter is;
Three points, A, B, and C, are located on a plane
Required:
To explain or determine whether point C is closer to point A or point B
Method:
Define, the relationship between the destination points A, and B
Find the shortest distance from point C, to the definition of points A, and B
Solution:
The relationship between points A, and B is that they form the line segment AB
The shortest distance from a point C to a line segment AB in Euclidean geometry is the perpendicular distance from the point C to the line segment AB
The line which best approximates the perpendicular line and therefore,
shortest distance from C to AB is the line segment CB
CB represents the shortest line and therefore distance from C to AB, that is
CB is shorter than line segment CA and which shows that it is shorter to go
from C to B, than from C to A or point C is closer to point B than point A
Learn more about Euclidean geometry here:
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