Question

A line segment AB is divided in the ratio 4:9 by a point C. Find the length AC (in cm) if AB=26 cm.

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Answer 1

$\frac{AC}{BC}$ =$\frac{4}{9}$

Therefore, $\frac{AB}{AC}$ = $\frac{AC}{AC}$ + $\frac{BC}{AC}$ = $1$ + $\frac{9}{4}$ = $\frac{13}{4}$

$\frac{AC}{AB}$ =$\frac{4}{13}$. So, $AC=AB$ $\times$ $\frac{4}{13}$ = $8cm$