Question

A quadrilateral abcd diagonal bd is bisected by diagonal ac prove that triangle abc and adc are equal in area'

Answer 1

Answer:

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Answer 2

Answer

Given - BD = AC

TO PROVE - ar(abc) =ar(adc)

proof– ABCD Is a parallelogram (diagonal bisect each other )

In ∆abc and ∆adc

AB=DC (OPP. SIDE OF parallelogram)

BC = AD (SAME REASON)

AC=AC (COMMON )

therefore ∆ABC congruent ∆ABD

ar (ADC)= ar( ABC) [ congruent ∆are equal in area]