Question

In $\Delta ABC,DE||BC$ so that $AD=2.4cm,AE=3.2cm$ and $EC=4.8cm$, then $AB=$?

• A. $3.6cm$
• B. $6cm$
• C. $6.4cm$
• D. $7.2cm$

Answer 1

The correct option is B $6cm$

We have,

$AD=2.4cm$

$AE=3.2cm$

$EC=4.8cm$

$AB=?$

Since,

$DE||BC$

Therefore,

$\frac{AD}{AB}=\frac{AE}{AC}$

$\frac{2.4}{AB}=\frac{3.2}{AE+EC}$

$\frac{2.4}{AB}=\frac{3.2}{3.2+4.8}$

$\frac{24}{AB}=\frac{32}{8}$

$\frac{24}{AB}=4$

$AB=6cm$

Hence, this is the answer.