Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the number line is not attached.
However, the following will guide you through
Given
[tex]AB = \frac{1}{3}AC[/tex]
Required
Determine BC
First, we need to get the fraction of BC using the following
[tex]AB + BC = AC[/tex]
Substitute [tex]\frac{1}{3}AC[/tex] for AB
[tex]\frac{1}{3}AC + BC = AC[/tex]
Make BC the subject of formula
[tex]BC = AC - \frac{1}{3}AC[/tex]
Take LCM
[tex]BC = \frac{3AC - AC}{3}[/tex]
[tex]BC = \frac{2AC}{3}[/tex]
[tex]BC = \frac{2}{3}AC[/tex]
This implies that you multiply the length of AC by 2/3 to get BC
Take for instance, AC = 24
BC will be:
[tex]BC = \frac{2}{3} * 24[/tex]
[tex]BC = \frac{48}{3}[/tex]
[tex]BC = 16[/tex]
Or if AC = 12
BC will be:
[tex]BC = \frac{2}{3} * 12[/tex]
[tex]BC = \frac{24}{3}[/tex]
[tex]BC = 8[/tex]
Or if AC = 36
BC will be:
[tex]BC = \frac{2}{3} *36[/tex]
[tex]BC = \frac{72}{3}[/tex]
[tex]BC = 24[/tex]
