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CBSE Class 9 Answered

In figure, E is any point on median AD of a ABC. Show that ar (ABE) = ar (ACE).
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

AD is the median of ABC

ar (ABD) = ar (ACD) ….. (1) (Median of a triangle divides it into 2 triangles of equal areas)

ED is the median of BEC

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

Subtracting (2) from (1)

ar(ABE) = ar(ACE)

Answered by | 04 Jun, 2014, 03:23: PM

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