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27 September, 21:52

Find the area of a triangle with sides lengths 17, 18, and 21.4 units. Round the answer to the nearest hundredth.

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  1. 27 September, 22:10
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    To calculate for the area of the triangle given all its side, use the Heron's formula which is,

    A = sqrt ((s) (s - a) (s - b) (s - c))

    where A is the area. a, b, and c are the measure of the sides and s the semi - perimeter or half of the perimeter.

    With the given above, s = (17 + 18 + 21.4) / 2 = 28.2

    Substituting the known dimensions to the Heron's formula,

    A = sqrt ((28.2) (28.2 - 17) (28.2 - 18) (28.2 - 21.4)) = 148 units^3

    Thus, the area of the triangle is 148 units^3.
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