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Question

In the ΔABC, DE || BC and ADDB=67. If AC=13 cm, then EC=____

A
14 cm
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B
7 cm
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C
21
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D
6 cm
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Solution

The correct option is B 7 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
= 6 + 7
= 13

137=13EC

EC=7cm

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