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In a triangle ABC, E is the midpoint of median AD. Show that arΔABE = 1/2 ar(ΔABC)

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In a triangle ABC, E is the midpoint of median AD. Show that arΔABE = 1/2 ar(ΔABC)

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ΔABE = 1/2 (ΔABD)

[From (i); BE is median of ΔABD]

ΔABE = 1/2 [1/2 ΔABC]

[∵ AD is median of ΔABC]

= 1/4 ΔABC

Hence proved.

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