InterviewSolution
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InterviewSolution
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12. 'A villager Itwaari has a plot of land of the shape of a quadrilateral. The Gram Panchayatof the village decided to take over some portion of his plot from one of the corners toconstruct a Health Centre. Itwaari agrees to the above proposal with the conditionthat he should be given equal amount of land in liew of his land adjoining his plot soas to form a triangular plot. Explain how this proposal will be implemented.3.llal to AC intersects AB at X and BC |
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Answer» Let ABCD be the plot of theland of the shape of a quadrilateral. Construction, DiagonalBD is joined. AE is drawn parallel BD. BE is joined which intersected AD at O. △BCE is the shape of the originalfield and △AOB isthe area for constructing health centre. Also, △DEO land joined to the plot. To prove: ar(△DEO) =ar(△AOB) Proof △DEB and △DAB lie on the same base BD andbetween the same parallel lines BD and AE. ar(△DEB) =ar(△DAB) ar(△DEB) – ar△DOB) = ar(△DAB) – ar(△DOB) [ Onsubtracting ar(△DOB)from both sides] ar(△DEO) = ar(△AOB) |
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