Q. 44.2( 20 Votes )
In ΔFAN, ∠F = 80°, ∠A = 40°. Find out the greatest and the smallest side of the triangle. State the reason.
Answer :
Given In ΔFAN,
∠F = 80°, ∠A = 40°
In a triangle sum of interior angles of the triangle is 180°
∴ ∠F + ∠A + ∠N = 180°
⇒ 80° + 40° + ∠N = 180°
⇒ ∠N = 180° - 120°
⇒ ∠N = 60°
So, ∠F = 80°, ∠N = 60°, ∠A = 40°
If two angles of a triangle are unequal then the side opposite to the greater.
Angle is greater than the side opposite to smaller angle.
Here greatest angle is ∠F and the smallest angle is ∠A
Side opposite to ∠F = NA
Side opposite to ∠A = FN
Greatest side of triangle = NA
Smallest side of triangle = FN
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