10th Class Mathematics Triangles Question Bank Case Based (MCQs) - Triangles

  • question_answer
    Direction: Q. 6 to 10
    Anika is studying in class X. She observe two poles DC and BA. The heights of these poles are x m and y m respectively as shown in figure below:
    These poles are z metres apart and O is the point o:
    intersection of the lines joining the top of each pole to the foot of opposite pole and the distance between point 0 and L is a Few questions came" to his mind while observing the poles Give answer to his questions by looking at figure.
    Which is the correct similarity criteria applicable in \[\Delta CAB\] and \[\Delta CLO\]?

    A) AA

    B) SSS

    C) SAS

    D) RHS

    Correct Answer: A

    Solution :

    In \[\Delta ABC\] and \[\Delta LOC,\]we have
    \[\angle CAB=\angle CLO=90{}^\circ \]
    \[\angle C=\angle C\]               (Common
    \[\therefore \]  By AA criterion of similarity,
    \[\Delta CAB\tilde{\ }\Delta CLO\]
    So, option [a] Is correct,

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