7th Class Mathematics The Triangle and its Properties Question Bank Properties of Triangle

  • question_answer
    The given figure shows a right-angled \[\Delta PQR.\]Each of the three sides of the triangle also act as sides of a square. What is the area of the shaded region in the given figure?

    A)  \[9\text{ }c{{m}^{2}}\]                              

    B)  \[\text{13 }c{{m}^{2}}\]       

    C)  \[\text{26 }c{{m}^{2}}\]       

    D)  \[\text{18 }c{{m}^{2}}\]

    Correct Answer: C

    Solution :

    (c): Shaded region (on 2 cm side) \[={{2}^{2}}=4\] Shaded region (on 3 cm side) \[={{3}^{2}}=9\] Shaded region (on 2 cm side) \[={{2}^{2}}+{{3}^{2}}=13\] \[\therefore \]   Total \[=4+9+13\] \[=26\]           


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