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Others tutors referred me to different people please help ! area of a triangle: sine formula

Others tutors referred me to different people please help ! area of a triangle: sine-example-1

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ANSWER


269m^2

Step-by-step 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:


A=(1)/(2)\cdot a\cdot b\cdot\sin C

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

Therefore, the area of the triangle is:


\begin{gathered} A=(1)/(2)\cdot46\cdot19\cdot\sin 38 \\ A\approx269m^2 \end{gathered}

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