7th Class Mathematics Practical Geometry Question Bank Practical Geometry

  • question_answer
    Which of the following sets of triangles could be the lengths of the sides of a right-angled triangle?

    A)  \[3\text{ }cm,\text{ }4\text{ }cm,\text{ }6\text{ }cm\]

    B)  \[9\text{ }cm,\text{ }16\text{ }cm,\text{ }26\text{ }cm\]

    C)  \[1.5\text{ }cm,\text{ }3.6\text{ }cm,\text{ }3.9\text{ }cm\]

    D)  \[7\text{ }cm,\text{ }24\text{ }cm,\text{ }26\text{ }cm\]

    Correct Answer: C

    Solution :

    If the sides of a triangle obey Pythagoras rule then triangle is right angled triangle. Here, \[{{(1.5)}^{2}}+{{(3.6)}^{2}}=2.25+12.96=15.21\,cm\] and \[{{(3.9)}^{2}}=15.21\,cm\] \[\therefore \] \[{{(1.5)}^{2}}+{{(3.6)}^{2}}={{(3.9)}^{2}}\]


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