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If,E is any point of median …

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If,E is any point of median AD of a ∆ABC Show that ae(ABE)=ar(ACE)

Posted by Bitupan Baruah 5 years, 2 months ago

CBSE > Class 09 > Mathematics

1 answers

Bitupan Baruah 5 years, 2 months ago

AD is the median of ∆ABC and E is any point on AD. We have to prove that ar(ABE)=ar(ACE). Proof-since, it is a median of ∆ABC therefore,ar(ABD)=ar(ACD) ---->(1) Again, ED is the median of ∆BEC Therefore, ar(BED)=ar(CED) -------->(2) Therefore, (1)&(2)=>ar(ABC)-ar(BED)=ar(ACD)-ar(CED) =ar(ABE)=ar(ACE)

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