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hey here is your ans.....
the triangles in the figure are congruent to each other so .... triangle ABE=triangle ACE
the triangles in the figure are congruent to each other so .... triangle ABE=triangle ACE
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In Triangle ABC, AD is the median
Therefore, ar(ABD)=ar(ACD)............1
In triangle BEC,ED is the median
Therefore ar(BED)=ar(CDE)............2
On subtracting eq.2 from eq.1, we get
ar(ABD)-ar(BED)=ar(ACD)-ar(CDE)
ar(ABE)=ar(ACE)
Therefore, ar(ABD)=ar(ACD)............1
In triangle BEC,ED is the median
Therefore ar(BED)=ar(CDE)............2
On subtracting eq.2 from eq.1, we get
ar(ABD)-ar(BED)=ar(ACD)-ar(CDE)
ar(ABE)=ar(ACE)
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