In Δ FAN, ∠ F = 80° , ∠ A = 40° . Find out the greatest and the smallest side of the triangle. State the reason.
∠F + ∠A + ∠N = 180∘ (Angle sum property)
⇒ 80∘ + 40∘ + ∠N = 180∘
⇒ 120∘ + ∠N = 180∘
⇒ ∠N = 180∘ − 120∘
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.