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Question

In the figure given below, point D divides AB in the ratio 3 : 5 and DE is parallel toBC. If AE = 4.8 cm, then find thelength of AC.


A

4.8 cm

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B

12 cm

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C

12.8 cm

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D

8.8 cm

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Solution

The correct option is C

12.8 cm


In ΔABC,DE||BC (Given)

Since point D divides AB in the ratio 3 : 5.

So, AD : DB = 3 : 5

By basic proportionality theorem, ADDB=AEEC

35=4.8EC

EC=4.8×53

EC=8

Now, AC = AE + EC

AC=4.8+8=12.8 cm


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