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In Delta ABC, if lengths of medians BE a...

In `Delta ABC`, if lengths of medians BE and CF are 12 and 9 respectively, find the maximum value of `Delta`

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The correct Answer is:
`Delta_("max") = 72` sq. units
`BE = 12 and CF = 9`
`:. BG = 8 and CG = 6`
Area of `Delta BGC = (1)/(2) xx 8 xx 6 xx sin theta`
`= 24 sin theta`
`Ar (DeltaABC) = 3 AR (Delta ABC)`
`= 72 sin theta`
`:. Ar (DeltaABC)_("max") = 72` sq. units
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