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14 June, 01:10

A triangular rug has sides that are 5 ft and 4 ft long with an included angle of 79°. what is the area of this rug? enter your answer as a decimal in the box. round only your final answer to the nearest tenth. ft²

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  1. 14 June, 02:10
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    Given the sides of a triangular rug and an included angle between them, the area is calculated through the equation,

    A = 0.5ab (cos C)

    where a and b are the lengths of the side and C is the included angle.

    A = 0.5 (5 ft) (4 ft) (cos 79°)

    A = 1.9 ft²

    Thus, the area of the triangular rug is approximately 1.9 ft².
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