10th Class Mathematics Triangles Question Bank Triangles

  • question_answer
    In a right-angled \[\Delta \] as shown below. If \[{{z}^{2}}=2xy\]then find angle \[\theta \].

    A)  \[55{}^\circ \]                         

    B)  \[65{}^\circ \]

    C)  \[40{}^\circ \]                         

    D)  \[45{}^\circ \]

    Correct Answer: D

    Solution :

    (d): We know. \[{{x}^{2}}+{{y}^{2}}={{z}^{2}}\] then \[{{x}^{2}}+{{y}^{2}}=2xy\] \[\Rightarrow \] \[{{(x-y)}^{2}}=0\]\[\Rightarrow \]\[x=y\] \[\Rightarrow \]isosceles right \[\Delta ;\]\[\Rightarrow \]\[\text{ }\theta =45{}^\circ \]


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