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9th Class Mathematics Triangles Question Bank Triangle

  • question_answer
    In the given figure below, G is the centroid of\[\Delta \mathbf{ABC}\]. If \[\mathbf{AG}=\mathbf{BC}\], then measure of \[\angle \mathbf{BGC}\] is

    A)  \[{{45}^{{}^\circ }}\]                          

    B)  \[{{60}^{{}^\circ }}\]

    C)  \[{{90}^{{}^\circ }}\]  

    D)  \[{{120}^{{}^\circ }}\]

    Correct Answer: C

    Solution :

    (c) D is the mid - point of BC. \[AG=2GD\] \[AG=BC\] \[\therefore \]\[GD=\frac{BC}{2}\] \[\therefore \]\[\angle BGC={{90}^{{}^\circ }}\]                       


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