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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(in cm). 


  1. 12.8


Solution

The correct option is A 12.8

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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