Math, asked by Haringa, 10 months ago


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

Answers

Answered by abhishek6866
21

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

Answered by bhuvna789456
5

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

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