8th Class Mathematics Squares and Square Roots Question Bank Square and Square Roots

  • question_answer 30) Use the information given in the diagram to find the value of x.

    A)  \[3\sqrt{5}\]     

    B)  \[6\sqrt{5}\]     

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

    D)  \[5\sqrt{5}\]

    Correct Answer: D

    Solution :

    (d): Join BD IN \[\Delta \,ABD,BD=\sqrt{{{20}^{2}}+{{15}^{2}}}=25\] IN \[\Delta BCD,\sqrt{{{x}^{2}}4{{x}^{2}}}={{25}^{2}}\] \[=\sqrt{5x}=25\] \[x=\frac{25}{\sqrt{5}},=5\sqrt{5}.\]

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