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Question

In ABC, DEBC and AD=6cm,DB=9cm and AE=8cm, then find AC.

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Solution

In ABC,
DEBC
ADDB=AEEC (by basic proportionality theorem)
69=8CE
6×CE=9×8
CE=8×96
CE=12cm
AC=AE+CE
=(8+12)cm=20cm
Thus, AC=20cm
1862622_1877590_ans_c3a9c7f942ae475c9ce36b8b2cc6e276.png

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