Question

State true or false:

In $\Delta ABC$, D and E are the points on sides AB and AC respectively. If $AB=9cm,AD=4cm,AE=6cm$ and $EC=7.5cm$, then $DE\parallel BC$.

• A. True
• B. False

Answer 1

The correct option is A True

In $△ABC$,

$AD=4cm,AB=9cm,EC=7.5cm,AE=6cm$

$AD+DB=9=AB$

$DB=9-4=5$

$\frac{AD}{DB}=\frac{4}{5},\frac{AE}{EC}=\frac{6}{7.5}=\frac{4}{5}$

$\therefore$ By basic proportionality theorem,

$DE\parallel BC$