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Triangle ABC shown below has m B = 38°, a = 8, and c = 16. Find the area of the triangle. Round your answer to the nearest tenth and do not include units in your answer.

Triangle ABC shown below has m B 38 a 8 and c 16 Find the area of the triangle Round your answer to the nearest tenth and do not include units in your answer class=

Respuesta :

The area of triangle is determined as

[tex]A=\frac{1}{2}a\times c\times\sin B[/tex][tex]A=\frac{1}{2}\times8\times16\times\sin 38=64\sin 38^{\circ}[/tex][tex]A=39.4\text{ squnit}[/tex]

Thus the area of triangle is 39.4 sq.unit.

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