Question

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

ABC, D and E are any points on the sides AB and AC respectively such that DE ║BC. If AB

= 13.3 cm, AC = 11.9 cm and EC = 5.1 cm find AD.​

Answer 1

Answer:

Given : AB=13.3 cm,AC=11.9 cm and EC=5.1 cm

Find AD. 

By BPT: 

 

DBAD=ECAE 

 

Add 1 on both sides 

 

DBAD+1=ECAE+1 

 

DB(AD+DB)=EC(AE+EC) 

 

DBAB=ECAC 

 

or DB=AC(AB×EC) 

 

=11.90(13.3×5.1) 

 

DB=5.7 cm 

 

⇒BD=5.7 cm 

 

And, AD=AB−DBAD=13.3−5.7 

 

AD=7.6 cm 

Step-by-step explanation:

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