Question

$Inthe\Delta ABC,DE||BCand\frac{AD}{DB}=\frac{3}{5}.$ If $AC=5.6cm$. Then $AE=$ _____.

• A. 2.1 cm
• B. 2.4 cm
• C. 3.2 cm
• D. 3.6 cm

Answer 1

The correct option is A

2.1 cm

$In\Delta ABC,wehaveDE||BC\left(Given\right)\frac{AD}{AB}=\frac{AE}{AC}\left[byBPT\right]$
$\frac{3}{3+5}=\frac{AE}{5.6}$

$\frac{3}{8}=\frac{AE}{5.6}AE=2.1cm$