Respuesta :

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Formula:
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Area of triangle = 1/2 ab sin c

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Find area
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Area of triangle = 1/2 (13) (7.5) sin (94)
Area of triangle = 48.6 in² (nearest tenth)

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Answer: Area of triangle = 48.6 in²
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Answer:

The area of the triangle is 48.6 square inches.

Step-by-step explanation:

The area of a triangle ABC is given by

[tex]A=\frac{1}{2}ab\sin C[/tex]

a = 7.5 inches

b = 13 inches

C = 94 °

Plugging these values in the above formula to find the area of the triangle

[tex]A=\frac{1}{2}(7.5)(13)\sin 94[/tex]

On simplifying, we get

[tex]A=48.6312[/tex]

Rounded to the nearest tenth

[tex]A=48.6[/tex]

The area of the triangle is 48.6 square inches.

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