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.

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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