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30 December, 19:30

Find the area of triangle QRS. Round the answer to the nearest tenth. A. 19.4 square units B. 91.2 square units C. 1,040.5 square units D. 1,052.4 square unts

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  1. 30 December, 20:24
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    The extended version of the link given shows a triangle with sides of measurements equal to 13, 16, and 15 units.

    Since we are given with the measurements of all sides, we use the Heron's formula.

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

    where s is the semiperimeter and a, b, and c are the measures of the sides.

    s = (a + b + c) / 2

    s = (13 + 15 + 16) / 2 = 22

    Substituting this to the equation for the area,

    A = sqrt ((22) (22 - 13) (22 - 15) (22 - 16))

    A = 91.19 square units

    Thus, the area is approximately equal to 91.2 square units. The answer is letter B.
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