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8th Class Mathematics Understanding Quadrilaterals Question Bank Quadrilaterals

  • question_answer
    PQRS is a trapezium in which \[\mathbf{PS}\parallel \mathbf{QR}\] and \[\mathbf{PQ}=\mathbf{SR}=\mathbf{12}\]m, then the distance of PS from QR is:

    A)  \[10\sqrt{2}m\]                         

    B)  \[4\sqrt{2}m\]       

    C)  \[5\sqrt{2}m\]                          

    D)  \[6\sqrt{2}m\]

    Correct Answer: D

    Solution :

    (d) Draw SM perpendicular to QR, where M is a point on QR. In triangle SMR, we need to find SM. SM=SR x sin45 = \[12x\frac{1}{\sqrt{2}}=6\sqrt{2}\]


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