The measures of line segments as TU = 7, UB = 3, and TB = 3.
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.
In the same way we can write TU + UB = TB
TU = 4x - 1, UB = 2x - 1, and TB = 5x
So we can write it as
4x - 1 + 2x - 1 = 5x
6x - 2 = 5x
6x - 5x = 2
x = 2
So TU = 4×2 - 1 = 7,
UB = 2×2 - 1 = 3,
TB = 5×2 = 3
Learn more about Coordinate geometry here:
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