Question

In $\Delta ABC$ $DE\parallel BC$ Find $AD$ if $DB=$$7.2$ cm, $AE=1.8$ cm, and $EC=5.4$ cm.

Answer 1

It is given that, In $\Delta ABC$ and $DE\parallel BC$.

We have to find $AD=?$

Since,

$DB=7.2c.m.$

$AE=1.8c.m.$

$EC=5.4c.m.$

So, We know that (using Thales Theorem)

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

Then,

$\frac{AD}{7.2}=\frac{1.8}{5.4}$

$AD=\frac{1.8\times 7.2}{5.4}$

$AD=\frac{7.2}{3}$

$AD=2.4$ $c.m.$

Hence it is complete solution.