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

  • question_answer
    Which is the following does not form a Pythagoras triplet?

    A) (7, 24, 25)

    B) (15, 8, 17)

    C) (5, 12, 13)

    D) (21, 20, 28)

    Correct Answer: D

    Solution :

    [a] Now, \[{{24}^{2}}+{{7}^{2}}=576+49\] \[=\text{ }625\text{ }=\text{ }{{25}^{2}}\], which forms a Pythagoras triplet [b] \[{{15}^{2}}+{{8}^{2}}=225+64=289={{17}^{2}}\], which forms a Pythagoras triplet [c] \[{{12}^{2}}+{{5}^{2}}=144+25=169={{13}^{2}}\], which form a Pythagoras triplet. [d] \[{{20}^{2}}+{{21}^{2}}=400+441=881\ne {{28}^{2}}\], which does not form a Pythagoras triplet.


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