lilyahh lilyahh
  • 22-11-2019
  • Mathematics
contestada

Find the area of a triangle with sides of length 5 and 6 and included angle 74 degrees

Respuesta :

calculista
calculista calculista
  • 29-11-2019

Answer:

[tex]A=14.42\ units^2[/tex]

Step-by-step explanation:

we know that

The area of a triangle applying the law of sines is equal to

[tex]A=\frac{1}{2}(a)(b)sin (C)[/tex]

where

C is the included angle between sides a and b

a and b are length sides of triangle

we have

[tex]a=5\ units\\b=6\ units\\C=74\°[/tex]

substitute

[tex]A=\frac{1}{2}(5)(6)sin (74\°)[/tex]

[tex]A=14.42\ units^2[/tex]

Answer Link

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