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Question

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 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
Given that,
Point D divides AB in the ratio 3:5.

So,
ADDB=35

Since DE || BC,
AEEC=ADDB
AEEC=35

Given:
AE = 4.8 cm
4.8EC=35

Now,
EC = 8 cm
AC = AE + EC = 4.8 + 8 = 12.8 cm

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