Subject

    Quantitative Aptitude

    Topic

    Areas & Volumes

    The sides of a right-angled triangle are 12 cm, 16 cm, 20 cm respectively. A new right angle Δ is made by joining the midpoints of all the sides. This process continues for infinite then calculate the sum of the areas of all the triangles so made.

    ক)
    312 sq.cm
    খ)
    128 sq.cm
    গ)
    412 sq.cm
    ঘ)
    246 sq.cm

    Explanation

    Area = 12×12×16\frac12\times12\times16 =96 Sum of Area =961−14\frac{96}{1-{\displaystyle\frac14}} = 128

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