9th Class Mathematics Triangles Question Bank Triangle

  • question_answer
    If one angle of a triangle is equal to half of the sum of the other two equal angles, then the triangle is:

    A)  Isosceles                      

    B)  Scalene

    C)  Equilateral       

    D)  Right angled

    Correct Answer: C

    Solution :

    (c): Let one angle of the triangle be \[{{a}^{{}^\circ }}\] \[\therefore \] Sum of remaining two angles \[={{180}^{{}^\circ }}-a\] According to me question, \[a=\frac{{{180}^{{}^\circ }}-a}{2}\] \[\Rightarrow \]\[2a+a={{180}^{{}^\circ }}\] \[\Rightarrow \]\[3=~{{180}^{{}^\circ }}\] \[\Rightarrow \] \[a={{60}^{{}^\circ }}\] \[\therefore \]other each angle \[={{60}^{{}^\circ }}\]                


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