11th Class Mental Ability Geometry Question Bank Question - Geometry

  • question_answer
    In the\[\Delta \mathbf{ABC}\], BD bisects\[\angle \mathbf{B}\], 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, 12

    B) 10, 12

    C) 16, 8

    D) 8, 15

    E) None of these

    Correct Answer: C

    Solution :

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


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