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9th Class Mathematics Geometry Question Bank Geometry

  • question_answer
    In the \[\angle ABC,\] BD bisects \[\angle B\], and is perpendicular to AC. If the lengths of the sides of the triangle are expressed in terms of x and y as shown, then find the value of x and y:

    A) \[6,\text{ }12\]  

    B)                   \[10,\text{ }12\]

    C) \[16,\text{ }8\]    

    D)        \[8,\text{ }15\]

    E) None of these

    Correct Answer: C

    Solution :

    Explanation Option [c] is correct. \[\frac{2x}{x}=\frac{3y+8}{3y}\Rightarrow \,y=8\] \[x=2y=16\]            


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