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10th Class Mathematics Triangles Question Bank Triangles

  • question_answer
    The triangle with measurements \[a=\left( \sqrt{m}-1 \right),\]\[b=2{{m}^{\frac{1}{4}}}\] and \[c=\left( \sqrt{m}+1 \right)\] is:

    A)  Isosceles                      

    B)  Right angled triangle

    C)  Equilateral                            

    D)  Right angled isosceles

    Correct Answer: B

    Solution :

    (b): One can easily see that a, b, c form a pythagorean triplet (i.e. \[{{c}^{2}}-{{a}^{2}}={{b}^{2}}\]) also \[a\ne b\ne c\]\[\Rightarrow \]Not an isoceles triangle \[\therefore \]Right angled \[\Delta \].


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