Respuesta :
the assumption being, is 3 colinear points. Recall that the midpoint cuts a segment into twin halves.
[tex]\bf \underset{\leftarrow \qquad \textit{\Large 60 units}\qquad \to }{\stackrel{\textit{\Large 30 units}}{\boxed{A}\rule[0.35em]{10em}{0.25pt}} E\rule[0.35em]{10em}{0.25pt}\boxed{B}}[/tex]
AE is 15 units where E is the midpoint of AB.
What is coordinate geometry?
Coordinate geometry is defined as the points that constitute a line are located on the plane using their coordinates, which have been two numbers that indicate the point's location, in coordinate geometry, another branch of mathematics.
What is a line segment?
We can determine the length of a line segment by calculating the distance between its two endpoints if we know their coordinates.
Three colinear points are the underlying assumption.
Consider that a segment is split into two parts in the middle.
A____________E____________B
Given that AB = 30 units
Since E is the midpoint of AB
⇒ AE + EB = AB
Where AE = EB
So, AE + AE = AB
⇒ 2AE = AB
Substitute the value of AB = 30
⇒ 2AE = 30
⇒ AE = 30/2
Divide by 2
⇒ AE = 15 units
Hence, the measure of AE is 15 units where E is the midpoint of AB.
Learn more about Coordinate geometry here:
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