Multiple Choice Questions on Consider an equiateral triangle of a side of unit length A new equilateral triangle is formed by joi........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

Consider an equiateral triangle of a side of unit length A new equilateral triangle is formed by joi...........

Quantitative Aptitude ( CCS) Mensuration 2D
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    Consider an equiateral triangle of a side of unit length. A new equilateral triangle is formed by joining the mid-points of one, then a third equilateral triangle is formed by joining the mid-points of second. The process is continued. The perimeter of all triangles, thus formed is

    2 units

    Incorrect Answer

    3 units

    Incorrect Answer

    6 units

    Correct Answer

    infinity

    Incorrect Answer
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    Explanation:

    Perimeter of all triangles
    = (3 × 1) + (3 × 0.5) + (3 × 0.25) + (3 × 0.125)
    = 3 + 1.5 + 0.75 + 0.375 = 5.625 ≈ 6 units

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