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24 votes
24 votes
If ST = 16 and RT = 64, find RS

User Lswank
by
3.4k points

2 Answers

22 votes
22 votes

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 =
\boxed{48}

Hope this helps!! :)

Please let me know if you have any questions

User CantGetANick
by
3.1k points
17 votes
17 votes
Answer:

RS = 48

Explanation:
If ST = 16 and RT = 64, find RS-example-1
User Dylan McNamee
by
3.2k points