Maths / Areas Of Parallelograms And Triangles / Median and Altitude of Triangle

QUESTION
 

In triangle ABC, D and E are points on BC such BD = DE = EC. Show that ar(large DeltaABD) = ar(large DeltaADE) = ar(large DeltaAEC).

EXPLANATION
Explain TypeExplanation Content
Text

BD - DE

therefore  AS is the median of DeltaABE.

therefore  ar (DeltaABD) = ar(DeltaAED)        [By throrem]

       DE = EC

therefore   AE is the median of DeltaADC.

therefore  ar(DeltaADE ) = ar (DeltaACE)       [By theorem]

therefore  ar (DeltaABD) = ar(ADE) = ar(DeltaACE)

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