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    Question

    The lengths of the diagonals of a rhombus are 2a and 2b.

    Its perimeter is
    A 2тИЪa┬▓+b┬▓ Correct Answer Incorrect Answer
    B 4ab Correct Answer Incorrect Answer
    C 4тИЪa┬▓+b┬▓ Correct Answer Incorrect Answer
    D More than one of the above Correct Answer Incorrect Answer
    E None of the above Correct Answer Incorrect Answer

    Solution

    ATQ, In a rhombus, the diagonals bisect each other at right angles. So, each side of the rhombus forms a right-angled triangle with half of the diagonals. Each half-diagonal is:┬а ┬а Using the Pythagorean theorem, the side тАШтАЩsтАЩтАЩ of the rhombus is:┬а ┬а The perimeter of a rhombus is:

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