# In ∆ABC, AD is the median to side BC, E is a point on AD such that AE=ED. If ar{∆ ABC} = 144 cm2 find ar{∆DEC}.

1
by shaswat2211

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by shaswat2211

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The Brainliest Answer!

⇒ar[ABD]=ar[ADC]

⇒ar[ADC]=1/2 ar[ABC] [i]

also CE is median

⇒ar[DEC]=1/2 ar[ADC]

⇒ar[DEC]=1/2 * 1/2 ar[ABC] from equation [i]

⇒ar[DEC]=1/4ar[ABC]

=1/4*144

= 36 cm ^2