Respuesta :

ANSWER

56.1 square inches.

EXPLANATION

The area of this triangle can be calculated using the formula,

[tex]Area = \frac{1}{2} ab \sin( C) [/tex]

where a=8in.

b=14.2 in.

and C=99° is the included angle.

We plug in these values to obtain,

[tex]Area = \frac{1}{2} \times 8 \times 14.2 \sin( 99 \degree) [/tex]

[tex]Area = 56.1007[/tex]

We round to the nearest tenth to get,

56.1 sq. inch