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10. DUtgonals AC and BD of a trapezium ABCD with AB IIDC intersect each other at 0. Prove that ar(AODJ = ar(BOCJ.

10. DUtgonals AC and BD of a trapezium ABCD with AB IIDC
intersect each other at 0. Prove that ar(AODJ = ar(BOCJ.

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 8741 Points
8 months ago
Triangles DAB and CAB are on the o c same base AB and between tho same - parallels AB and DC. :. ar(DAB) = ar(CAB) A B ar(OOA) + ar(OAB) = ar(OAB) + ar(COB) ar(AOD) = ar(BOC).

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