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where a and b are the lengths of two of the sides and C is the included angle. If Upper A equals 14 in squared commaa equals 8 in commab equals 7 in commaand C is an acute​ angle, what must C​ be? Give your answer in degrees to the nearest hundredth.

Respuesta :

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.

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