text: # In δ Fan, ∠ F = 80° , ∠ a = 40° . Find Out the Greatest and the Smallest Side of the Triangle. State the Reason. - Geometry
  
  Sum
  
  In Δ FAN, ∠ F = 80° , ∠ A = 40° . Find out the greatest and the smallest side of the triangle. State the reason.
  
  #### Solution
  
  In ∆FAN,
  ∠F + ∠A + ∠N = 180   (Angle sum property)
  ⇒ 80 + 40 + ∠N = 180
  ⇒ 120 + ∠N = 180
  ⇒ ∠N = 180 − 120
  = 60
  Now, in △FAN,  ∠F and ∠A are the largest and smallest angle.
  The side opposite to the largest angle is the greatest side and the side opposite to the smallest angle is the smallest side .
  Hence, the greatest and the smallest side of the triangle are AN and ​FN respectively.
  
  Concept: Properties of inequalities of sides and angles of a triangle
  Is there an error in this question or solution?
  
  #### APPEARS IN
  
  Balbharati Mathematics 2 Geometry 9th Standard Maharashtra State Board
  Chapter 3 Triangles
  Practice Set 3.4 | Q 4 | Page 43