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).  12.8

Solution

## The correct option is A 12.8In 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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