Question

diagonal PR and QS of a quadrilateral PQRS intersect each other at O. show that as PSO ×QOR= POQ×SOR​

Answer 1

Answer:

Draw SN⊥PR and QN⊥PR.

therefore, area ΔPSA×areaΔQAR=

=                 (1)

Also, area ΔSAR×areaΔPAQ=

=                                   (2)

Now, from equation (1) and (2), we get

area ΔPSA×areaΔQAR=area ΔSAR×areaΔPAQ

Hence proved.

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