In the figure given below, point D divides AB in the ratio 3 : 5 and DE is parallel to BC. If AE=4.8 cm, then find the length of AC.
A
4.8
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B
12
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C
12.8
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D
8.8
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Solution
The correct option is C 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