Question

    If the measures of the sides of triangle are (a2 – 1), (a2 + 1) and 2a cm, then the triangle would be

    A equilateral Correct Answer Incorrect Answer
    B acute-angled Correct Answer Incorrect Answer
    C obtuse-angled Correct Answer Incorrect Answer
    D right-angled Correct Answer Incorrect Answer

    Solution

    (2 a) 2 + (a 2 – 1) 2 = (a 2 + 1) 2 4 a 2 + a 4 – 2 a 2 +1 = a 4 + 2a 2 +1 a 4 + 2 a 2 +1 = a 4 + 2a 2 +1 It is a right-angled triangle. LHS =RHS

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