Question

What will the ratio $AB:AC$ be if $C$ divides the line segment $AB$ in the ratio $5:12$?

• A. $5:12$
• B. $17:12$
• C. $12:17$
• D. $17:5$

Answer 1

The correct option is D

$17:5$

Given $\frac{AC}{BC}=\frac{5}{12}$

Therefore, $\frac{BC}{AC}=\frac{12}{5}$

$\frac{AB}{AC}=\frac{AC+BC}{AC}=1+\frac{BC}{AC}=1+\frac{12}{5}=\frac{17}{5}$

So, the required ratio $=17:5$