Question

In figure, if the length $\overline{AB}$ is $2$ more than $3$ times the length of $\overline{BC}$, and $AC=14$, calculate the length of $\overline{BC}$.

• A. $2$
• B. $3$
• C. $4$
• D. $7$

Answer 1

Answer: (B)

$3$

From the given figure, we can write

$AC=AB+BC=14$
Given $AB=3BC+2$

Substitute this in above equation, we get
$\Rightarrow 3BC+2+BC=4BC+2=14$

$\Rightarrow BC=3$