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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