Respuesta :

ANSWER

[tex]269m^2[/tex]

EXPLANATION

We want to find the area of the triangle given.

To do that, we have to apply the formula of the area of a triangle given 2 sides and an included angle:

[tex]A=\frac{1}{2}\cdot a\cdot b\cdot\sin C[/tex]

where a and b are the sides and C is the included angle.

Therefore, the area of the triangle is:

[tex]\begin{gathered} A=\frac{1}{2}\cdot46\cdot19\cdot\sin 38 \\ A\approx269m^2 \end{gathered}[/tex]

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