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

  • question_answer
    If the two legs of a right angled triangle are equal and the square of the hypotenuse is \[400\text{ }sq\text{ }cm,\]what is the length of each leg?

    A)  \[40\text{ }cm\]                      

    B)  \[\text{10}\sqrt{2}\text{ }cm\]    

    C)  \[\text{50}\sqrt{2}\text{ }cm\]          

    D)  15 cm

    Correct Answer: B

    Solution :

    (b): Let equal legs be \[x\therefore \,{{x}^{2}}+{{x}^{2}}=400\Rightarrow {{x}^{2}}=200\] \[\therefore \,\,\,\,x=\sqrt{200}=10\sqrt{2}\,cm\]


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