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Question

In the ΔABC, DE || BC and ADDB=35. If AC=5.6 cm, then AE=____

A
2 cm
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B
2.5 cm
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C
2.1 cm
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D
3.5 cm
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Solution

The correct option is C 2.1 cm

In ABC,
DE || BC (Given)

ADDB=AEEC [By BPT]

Adding 1 on both sides we get,

ADDB+1=AEEC+1

AD+DBDB=AE+ECEC

ABDB=ACEC

AB = AD + DB
= 3 + 5
= 8

85=5.6EC

EC=5×0.7
=3.5cm
AC = AE + EC
5.6 = AE + 3.5
AE = 5.6 - 3.5 cm
= 2.1 cm

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