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Rajan@2021
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In the figure (iii) given below, if XY∥ QR,PX=1 cm,QX=3 cm,YR=4.5 cm and QR=9 cm, find PY and XY.

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One of the basic question from similarity chapter in which we have been asked to find the length of sides PY and XY by using the properties of similarities

ML Aggarwal Avichal Publication, Similarity, class 10, chapterv13ii,  question no 1c

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1 Answer

  1. From the figure,
    XYQR,PX=1cm,QX=3 cm, YR=4.5 cm and QR=9 cm,
    So, PX/QX=PY/YR
    1/3=PY/4.5
    By cross multiplication we get,
    (4.5×1)/3=PY
    PY=45/30
    PY=1.5
    Then, X=Q
    Y=R
    So, PXYPQR
    Therefore, XY/QR=PX/PQ
    XY/9=1/(1+3)
    XY/9=1/4
    XY=9/4
    XY=2.25.

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