Line segment $$\overline{AC}$$ contains point $$B$$. If $$AB = 2x$$ and $$BC = 6x$$ where $$AC = 56$$ units, the length of $$AB$$ is `____`.

Flashcard 15 - 11th Grade Mathematics: Geometry Flashcard Set for the SBAC

14 units

Since $B$ is between $A$ and $C$,

\[AB + BC = AC\]

Now,

\[2x+6x=56\] \[8x=56\] \[x=7\]

So,

\[AB = 2x = 2 \cdot 7 = 14\]

All Flashcard Sets for the SBAC are now available as downloadable PDFs