Question

In a $\Delta ABC$, $DE$ is parallel to $BC$ and $D$ is the mid-point of side $AB$, find $AE$ and $BC$ if $DE=6cm$ and $EC=5cm$.

Answer 1

REF.image

$\because D$ is the pint of AB.

$\therefore D$ divides AB in equal

Proportions Similarly, this

Parallel line DE will be half of

BC by similarity therm.

$BC=2\times DE=12cm.$

$AE=\frac{1}{2}\times AC$ or = $EC=5cm$