Answer: RS = 48
Concept:
Here, we need to know the concept of segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
Given information
ST = 16
RT = 64
Given expression deducted from the segment addition postulate
RT = RS + ST
RS = RT - ST
Substitute values into the expression
RS = 64 - 16
Simplify by addition
RS =
Hope this helps!! :)
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