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7 December, 05:28

What is the area of this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. ft² The figure contains a triangle. One side is 3.2 feet. A second side is 4.7 feet. The angle between the given sides is 62 degrees.

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  1. 7 December, 05:46
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    We are given two sides and their included angle. Using the side-angle-side method we can find the Area of the triangle using the following formula:

    Area = 0.5 ab sin (γ)

    a = Measure of first side = 3.2 feet

    b = Measure of second side = 4.7 feet

    γ = Angle between the two sides = 62 degrees

    Using the values in the above formula, we get:

    Area = 0.5 x (3.2) x (4.7) x (sin (62))

    Area = 6.64 square feet (rounded to nearest hundredth)

    Thus, the Area of the given triangle is 6.64 square feet
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