Question

pls help me solve this Q 22

Answer 1

solution:
we know that median devides the triangle in equal area.

So, 1st in trangle ABD And ADC.

both have equal area.

so, ar(ABD)= ar(ADC).....1

now, In Traiangle BED And CED.

Thes traingle also devided by median ED.

SO, ar(BED)= ar(CED)....2

now.subtract 2 from 1.

=>ar[(ABD) - (BED)] = ar[(ADC) - (CED)]

=> ar (ABE) = ar (ACE)...Proved..

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