DaphnieH192147 DaphnieH192147
  • 25-10-2022
  • Mathematics
contestada

Given ABC below, with m B=25°, a = 9, and c = 16, find the area of the triangle.

Given ABC below with m B25 a 9 and c 16 find the area of the triangle class=

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JaxieD349105 JaxieD349105
  • 25-10-2022

It is given that the sides of the triangle are a =9 and c=16 . The angle is given mB=25 degree.

The area of triangle is determined as

[tex]A=\frac{1}{2}a\times c\times\sin B[/tex][tex]A=\frac{1}{2}\times9\times16\times\sin 25=72\sin 25^{\circ}[/tex][tex]A=30.428sq\mathrm{}\text{unit}[/tex]

Thus the area of triangle is 30.428 sq.unit.

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