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The points A, B, and C reside on a line segment. B is the midpoint of AC. If line AB measures 6 units in length, what is the length of line AC?
If B is the midpoint of AC, then AC is twice as long as AB. We are told that AB=6.
The diagram shows six units between points A and B, with B as the midpoint of segment AC. Therefore segment BC is also six units long, so line AC is twelve units long.
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What is the length of a line with endpoints and
?
The formula for the length of a line is very similiar to the pythagorean theorem:
Plug in our given numbers to solve:
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