In a $Δ\ ABC$, $D$ and $E$ are points on the sides $AB$ and $AC$ respectively such that $DE\ ||\ BC$.
If  $\frac{AD}{BD}\ =\ \frac{4}{5}$  and  $EC\ =\ 2.5\ cm$, find $AE$.

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 Given:

In a $Δ\ ABC$, $D$ and $E$ are points on the sides $AB$ and $AC$ respectively such that $DE\ ||\ BC$.

$\frac{AD}{BD}\ =\ \frac{4}{5}$ and $EC\ =\ 2.5\ cm$.

To do:

We have to find the measure of $AE$.

Solution:

$DE\ ||\ BC$ (given)

Therefore,

By Basic proportionality theorem,

$\frac{AD}{BD}\ =\ \frac{AE}{CE}$

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Updated on: 10-Oct-2022

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