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

  • question_answer
    If the two legs of a right angled triangle are equal and the square of the hypotenuse is \[100\text{ }sq\] units, what is the length of each leg?

    A)  10 units

    B)       \[5\sqrt{2}\] units  

    C)  \[10\sqrt{2}\] units

    D)  15 units

    Correct Answer: B

    Solution :

     We have, by Pythagoras' theorem,\[{{x}^{2}}+{{x}^{2}}=100\] \[\Rightarrow \] \[x=\sqrt{50}=\sqrt{25\times 2}=5\sqrt{2}\]


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