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Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.
B = 105°, a = 12 cm, c = 19 cm


Sagot :

The area of a plane shape is the measurement on a  2-dimensional plane. The area of the triangle is 110.124 [tex]cm^{2}[/tex].

A triangle is a  plane shape that has not more than three sides and three angles. The sum of the internal angle of a triangle is [tex]180^{o}[/tex].

In the given question, the area of the given triangle can be determined by;

Area = [tex]\frac{1}{2}[/tex] ac SinB

Where: a = 12 cm, c = 19 cm and B = 105°.

Therefore,

Area of the triangle =  [tex]\frac{1}{2}[/tex] x 12 x 19 x Sin 105°

                                = 6 x 19 x 0.9660

Area of the triangle =  110.124 [tex]cm^{2}[/tex]

The area of the given triangle is 110.124 [tex]cm^{2}[/tex].

For more clarifications on the area of a triangle, visit: https://brainly.com/question/17335144

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