Given:B is the midpoint of AC. Complete the statement. If AB = 7,then BC = _____, and AC = ____.
1 answer:
Midpoint
We know AC is a segment and B is its midpoint. This means the length of the segment AB is half the length of the segment AC. This also means the length of the segment BC is half the length of AC, and equal to AB.
This can be visualized as follows:
Since AB=7, then BC = 7 and AC=AB+BC = 14
Answer: BC = 7, and AC=!4
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Work Shown:
Note: I used the law of cosines. Make sure your calculator is in degree mode.