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Rajan@2021
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In given figure, PB and QA are perpendiculars to segment AB. If PO=5 cm, QO=7 cm and Area △POB=150cm 2 find the area of △QOA

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In the given figure we have been asked to find the area of ΔQOA, if PB and QA are perpendiculars to segment AB. If PO=5 cm, QO=7 cm and Area POB=150cm2

ML Aggarwal Avichal Publication class 10, Similarity, chapter 13.3, question no 5a

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1 Answer

  1. In OAQ and OBP, we have A=B    [Each equal to 90AOQ=BOP

    So, by AA-criterion of similarity, we have AOQBOP

      Area(BOP)/Area(AOQ)=OP^2/OQ^2

     150/Area(AOQ)=5^2/7^2

     Area(AOQ)=49/25×150cm2
                                =294cm2

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