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LenKa [72]
3 years ago
9

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 len

gth of line AC?
Mathematics
1 answer:
Nadya [2.5K]3 years ago
6 0

Answer:

12 units

Step-by-step explanation:

A-------6--------B-------?--------C

Midpoint is center that divides the line segment into two equal halves.

∴    AB = BC

If line AB measures 6 units in length, then, line BC will measure 6 units in length.

     AB = BC = 6 units

     AC = AB + BC

     AC = 6 units + 6 units

     AC = 12 units

OR

We can say If B is the midpoint of AC, then AC is twice as long as AB.

     AC = 2AB

     AC = 2 × 6 units

     AC = 12 units        

Therefore, the length of line AC is 12 units.  

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