Answer:
[tex]C=40.01^0[/tex]
Step-by-step explanation:
Area =14 Inch squared
a=8 Inch
b = 7 Inch
DEFINITION: An Included Angle is the angle in between two adjacent sides.
Given the lengths of two sides of a triangle and an included angle.
Area of the Triangle, [tex]A=\frac{1}{2}abSinC[/tex]
Substituting the given values:
[tex]A=\frac{1}{2}abSinC\\14=\frac{1}{2}*8*7*SinC\\18=28*Sin C\\Sin C =\frac{18}{28}\\ C=arcsin (\frac{18}{28})=40.01^0[/tex]
Angle C is 40.01 degrees to the nearest hundredth.
