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27 September, 10:12

A triangular building is bounded by three streets. The building measures approximately 83 feet on the first street, 189 feet on the second street, and 178 feet on the third street. Approximate the ground area K covered by the building.

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  1. 27 September, 13:17
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    For this case we use Heron's formula to calculate the area of the building.

    We have then:

    A = root ((s) * (s-a) * (s-b) * (s-c))

    Where,

    s = (a + b + c) / 2

    Substituting values:

    s = (83 + 189 + 178) / 2

    s = 225 feet

    A = root ((225) * (225-83) * (225-189) * (225-178))

    A = 7352.509776 feet ^ 2

    Rounding off we have:

    A = 7353 feet ^ 2

    Answer:

    The ground area K covered by the building is:

    K = 7353 feet ^ 2
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