Question

In triangle ABC, DE || BC. If AD=4 cm, AB = 12 cm and AC = 24 cm. Find AE.
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Answer 1

Step-by-step explanation:

Given:- DE||BC

To find :- EC

solution:-

AD/AB =AE/AC

4/12 = AE/24

1/3 = AE/24

Or,

AE = 24/3

then AE =8

That is your answer

Hope it may help you

Answer 2

Answer:

$AE=8cm$

Step-by-step explanation:

Given, $DE||BC, AD=4cm,AB=12cm$ and $AC=24cm.$

In triangle $ABC,$

         $DE||BC$

By using basic proportionality theorem,

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

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

            $\frac{4}{12-4}=\frac{AE}{24-AE}$

                 $\frac{4}{8} =\frac{AE}{24-AE}$

           $8AE=96-4AE$

$8AE+4AE=96$

         $12AE=96$

             $AE=\frac{96}{12} =8$

             $AE=8cm$