Respuesta :

mhanifa

Answer:

  • 10 units (rounded to the whole number)

Step-by-step explanation:

Given:

  • AB = c = 5
  • AC = b = 6
  • sin A = √5/6
  • BC = a = ?

Find the cos A first:

  • [tex]cos A = \sqrt{1 - sin^2A} =\sqrt{1-5/9} =\sqrt{4/9} [/tex]
  • Since a is the greatest side, the angle A is obtuse angle, hence cos A gets negative value
  • cos A = - 2/3

Use the law of cosines:

  • [tex]a=\sqrt{b^2+c^2-2bc*cos A} =\sqrt{5^2+6^2+2*5*6*2/3} =\sqrt{101} =10.05[/tex]